Juan Luis Vázquez. Publications 1980-1999

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1980
  A1 Existence of solutions bounded at infinity for a semilinear elliptic equation on RN (author: J. L. V.), Collect. Math. 31 (1980), no. 1, 11–22.     pdf
  A2 Removable singularities of some strongly nonlinear elliptic equations (authors: J. L. V., Laurent Véron), Manuscripta Math. 33 (1980/81), no. 2, 129–144.     pdf
 
1981
  A3 An a priori interior estimate for the solutions of a nonlinear problem representing weak diffusion (author: J. L. V.), Nonlinear Anal. 5 (1981), no. 1, 95–103.     pdf
  A4 Asymptotic behaviour of the solutions of a strongly nonlinear parabolic problem (authors: Miguel A. Herrero, J. L. V.), Ann. Fac. Sci. Toulouse Math. (5) 3 (1981), no. 2, 113–127.     pdf
 
1982
  A5 Symmetrization in nonlinear parabolic equations (author: J. L. V.), Portugal. Math. 41 (1982), no. 1-4, 339–346 (1984).     pdf
  A6 Symétrisation pour ut = Δφ(u) et applications. (French) [Symmetrization for ut=Δφ(u) and applications] (author: J. L. V.), C. R. Acad. Sci. Paris Sér. I Math. 295 (1982), no. 2, 71–74.   Erratum: "Symmetrization for ut=Δφ(u) and applications''. C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), no. 10, 455.     pdf
  A7 Monotone perturbations of the Laplacian in L1(Rn) (author: J. L. V.), Israel J. Math. 43 (1982), no. 3, 255–272.     pdf
  A8 On the propagation properties of a nonlinear degenerate parabolic equation (authors: Miguel A. Herrero, J. L. V.), Comm. Partial Differential Equations 7 (1982), no. 12, 1381–1402.     pdf
 
1983
  A9 On a semilinear equation in R2 involving bounded measures (author: J. L. V.), Proc. Roy. Soc. Edinburgh Sect. A 95 (1983), no. 3-4, 181–202.     pdf
  A10 Asymptotic behaviour and propagation properties of the one-dimensional flow of gas in a porous medium (author: J. L. V.), Trans. Amer. Math. Soc. 277 (1983), no. 2, 507–527.     pdf
 
1984
  A11 A strong maximum principle for some quasilinear elliptic equations (author: J. L. V.), Appl. Math. Optim. 12 (1984), no. 3, 191–202.     pdf
  A12 Behaviour of the velocity of one-dimensional flows in porous media (author: J. L. V.), Trans. Amer. Math. Soc. 286 (1984), no. 2, 787–802.     pdf
  A13 The interfaces of one-dimensional flows in porous media (authors: J. L. V.), Trans. Amer. Math. Soc. 285 (1984), no. 2, 717–737.     pdf
  A14 Singularities of elliptic equations with an exponential nonlinearity (authors: J. L. V., Laurent Véron), Math. Ann. 269 (1984), no. 1, 119–135.     pdf
  A15 Existence and regularity of solutions for a semilinear first-order equation on the torus (author: J. L. V.), Manuscripta Math. 45 (1984), no. 2, 193–206.     pdf
 
1985-86
  A16 Interfaces with a corner point in one-dimensional porous medium flow (authors: Donald G. Aronson, Luis A. Caffarelli, J. L. V.), Comm. Pure Appl. Math. 38 (1985), no. 4, 375–404.     pdf
  A17 A symmetrization result for elliptic equations with lower-order terms (authors: Guido Trombetti, J. L. V.), Ann. Fac. Sci. Toulouse Math. (5) 7 (1985), no. 2, 137–150.     pdf
  A18 Isolated singularities of some semilinear elliptic equations (authors: J. L. V., Laurent Véron) J. Differential Equations 60 (1985), no. 3, 301–321.     pdf
  A19 Hyperbolic aspects in the theory of the porous medium equation (author: J. L. V.), Metastability and incompletely posed problems (Minneapolis, Minn., 1985), 325–342, IMA Vol. Math. Appl., 3 , Springer, New York, 1987.     pdf
  A20 Singularités isolées et comportement à l'infini des solutions de l'équation de Schrödinger stationnaire. (French) [Isolated singularities and behavior at infinity of the solutions of the stationary Schrödinger equation] (authors: J. L. V., Cecilia Yarur), C. R. Acad. Sci. Paris Sér. I Math. 300 (1985), no. 4, 105–108.     pdf
  A21 On the equation of turbulent filtration in one-dimensional porous media (authors: Juan R. Esteban, J. L. V.), Nonlinear Anal. 10 (1986), no. 11, 1303–1325.     pdf
 
1987
  A22 Eventual C∞-regularity and concavity for flows in one-dimensional porous media (authors: Donald G. Aronson, J. L. V.), Arch. Rational Mech. Anal. 99 (1987), no. 4, 329–348.     pdf
  A23 Lipschitz continuity of solutions and interfaces of the N-dimensional porous medium equation (authors: Luis A. Caffarelli, J. L. V., Noemí I. Wolanski), Indiana Univ. Math. J. 36 (1987), no. 2, 373–401.     pdf
  A24 The porous medium equation as a finite-speed approximation to a Hamilton-Jacobi equation (authors: Donald G. Aronson, J. L. V.), Ann. Inst. H. Poincaré Anal. Non Linéaire 4 (1987), no. 3, 203–230.     pdf
  A25 The relation between the porous medium and the eikonal equations in several space dimensions (authors: Pierre-Louis Lions, Panagiotis E. Souganidis, J. L. V.), Rev. Mat. Iberoamericana 3 (1987), no. 3-4, 275–310.     pdf
  A26 Classification de solutions singulières à l'origine pour une équation de la chaleur non linéaire. (French) [Classification of singular solutions of a nonlinear heat equation] (authors: Shoshana Kamin, Lambertus A. Peletier J. L. V.), C. R. Acad. Sci. Paris Sér. I Math. 305 (1987), no. 13, 595–598.     pdf
  A27 The one-dimensional nonlinear heat equation with absorption: regularity of solutions and interfaces (authors: Miguel A. Herrero, J. L. V.), SIAM J. Math. Anal. 18 (1987), no. 1, 149–167.     pdf
  A28 Concavity of solutions of the porous medium equation (authors: Philippe Bénilan, J. L. V.), Trans. Amer. Math. Soc. 299 (1987), no. 1, 81–93.     pdf
  A29 Isolated singularities of the solutions of the Schrödinger equation with a radial potential (authors: J. L. V., Cecilia Yarur), Arch. Rational Mech. Anal. 98 (1987), no. 3, 251–284.     pdf
 
1988
  A30 Fundamental solutions and asymptotic behaviour for the p-Laplacian equation (authors: Shoshana Kamin, J. L. V.), Rev. Mat. Iberoamericana 4 (1988), no. 2, 339–354.     pdf
  A31 Thermal waves in absorbing media (authors: Miguel A. Herrrero, J. L. V.), J. Differential Equations 74 (1988), no. 2, 218–233.     pdf
  A32 Homogeneous diffusion in R with power-like nonlinear diffusivity (authors: Juan R. Esteban, J. L. V.), Arch. Rational Mech. Anal. 103 (1988), no. 1, 39–80.     pdf
  A33 A nonlinear heat equation with singular diffusivity (authors: Juan R. Esteban, Ana Rodríguez, J. L. V.), Comm. Partial Differential Equations 13 (1988), no. 8, 985–1039.     pdf
 
1989
  A34 Regularity of solutions and interfaces of the porous medium equation via local estimates (author: J. L. V.), Proc. Roy. Soc. Edinburgh Sect. A 112 (1989), no. 1-2, 1–13.     pdf
  A35 Classification of singular solutions of a nonlinear heat equation (authors: Shoshana Kamin, Lambertus A. Peletier, J. L. V.), Duke Math. J. 58 (1989), no. 3, 601–615.     pdf
  A36 Isolated singularities of the Schrödinger equation with a good potential (authors: Cecilia Yarur, J. L. V.), Trans. Amer. Math. Soc. 315 (1989), no. 2, 711–720.     pdf
 
1990
  A37 A well-posed problem in singular Fickian diffusion (authors: Ana Rodriguez, J. L. V.), Arch. Rational Mech. Anal. 110 (1990), no. 2, 141–163.     pdf
  A38 Asymptotic behavior of solutions of a nonlinear diffusion-absorption equation with a critical exponent. (authors: Victor A. Galaktionov, J. L. V.), (Russian) Dokl. Akad. Nauk SSSR 314 (1990), no. 3, 530-534; translation in Soviet Math. Dokl. 42 (1991), no. 2, 484–487.     pdf
  A39 New self-similar solutions of the porous medium equation and the theory of solutions of changing sign (author: J. L. V.), Nonlinear Anal. 15 (1990), no. 10, 931–942.     pdf
  A40 Two nonlinear diffusion equations with finite speed of propagation (author: J. L. V.), Problems involving change of type (Stuttgart, 1988), 197–206, Lecture Notes in Phys., 359 , Springer, Berlin, 1990.     pdf
  A41 Bounded speed of propagation for solutions to radiative transfer equations (authors: Benoît Pethame, J. L. V.), Comm. Math. Phys. 130 (1990), no. 3, 457–469.     pdf
  A42 Régularité des solutions positives de l'équation parabolique p-laplacienne. (French) [Regularity of nonnegative solutions of the p-Laplacian parabolic equation] (authors: Juan R. Esteban, J. L. V.), C. R. Acad. Sci. Paris Sér. I Math. 310 (1990), no. 3, 105–110.     pdf
  A43 Schrödinger equations with unique positive isolated singularities (authors: J. L. V., Cecilia Yarur ), Manuscripta Math. 67 (1990), no. 2, 143–163.     pdf
  A44 The balance between strong reaction and slow diffusion (authors: Arturo de Pablo, J. L. V.), Comm. Partial Differential Equations 15 (1990), no. 2, 159–183.     pdf
 
1991
  A45 Asymptotic behaviour of solutions of the porous medium equation with changing sign (authors: Shoshana Kamin, J. L. V.), SIAM J. Math. Anal. 22 (1991), no. 1, 34–45.     pdf
  A46 On the Barenblatt equation of elastoplastic filtration (authors: Shoshana Kamin, Lambertus A. Peletier, J. L. V.), Indiana Univ. Math. J. 40 (1991), no. 4, 1333–1362.     pdf
  A47 Asymptotic behavior of solutions of a nonlinear diffusion-absorption equation with a critical exponent. (authors: Victor A. Galaktionov, J. L. V.), (Russian) Dokl. Akad. Nauk SSSR 314 (1990), no. 3, 530--534; translation in Soviet Math. Dokl. 42 (1991), no. 2, 484–487.     pdf
  A48 Asymptotic behaviour of nonlinear parabolic equations with critical exponents. A dynamical systems approach (authors: Victor A. Galaktionov J. L. V.), J. Funct. Anal. 100 (1991), no. 2, 435–462.     pdf
  A49 Regularity of solutions and interfaces of a generalized porous medium equation in RN (authors: Arturo de Pablo, J. L. V.), Ann. Mat. Pura Appl. (4) 158 (1991), 51–74.     pdf
  A50 Travelling waves and finite propagation in a reaction-diffusion equation (authors: Arturo de Pablo, J. L. V.), J. Differential Equations 93 (1991), no. 1, 19–61.     pdf
  A51 Diffusivity determination in nonlinear diffusion (authors: Carmen Cortázar, Manuel Elgueta, J. L. V.), European J. Appl. Math. 2 (1991), no. 2, 159–169.     pdf
  A52 Solutions positives d'équations elliptiques semi-linéaires sur des variétés riemanniennes compactes. (French) [Positive solutions of semilinear elliptic equations on compact Riemannian manifolds] (authors: J. L. V., Laurent Véron), C. R. Acad. Sci. Paris Sér. I Math. 312 (1991), no. 11, 811–815.     pdf
  A53 Solutions of a nonlinear ODE appearing in the theory of diffusion with absorption (authors: John B. Mcleod, Lambertus A. Peletier, J. L. V.), Differential Integral Equations 4 (1991), no. 1, 1–14.     pdf
 
1992
  A54 An introduction to the mathematical theory of the porous medium equation (author: J. L. V.), Shape optimization and free boundaries (Montreal, PQ, 1990), 347–389, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 380 , Kluwer Acad. Publ., Dordrecht, 1992.     pdf
  A55 Singular solutions of some nonlinear parabolic equations. Festschrift on the occasion of the 70th birthday of Shmuel Agmon (authors: Shoshana Kamin, J. L. V.), J. Anal. Math. 59 (1992), 51–74.     pdf
  A56 Nonexistence of solutions for nonlinear heat equations of fast-diffusion type (author: J. L. V.), J. Math. Pures Appl. (9) 71 (1992), no. 6, 503–526.     pdf
  A57 The propagation of turbulent bursts (authors: Shoshana Kamin, J. L. V.), European J. Appl. Math. 3 (1992), no. 3, 263–272.     pdf
  A58 Interaction of gas fronts (authors: Andrew A. Lacey, J. L. V.), Quart. Appl. Math. 50 (1992), no. 3, 469–478.     pdf
  A59 An overdetermined initial and boundary-value problem for a reaction-diffusion equation (authors: Arturo de Pablo, J. L. V.), Nonlinear Anal. 19 (1992), no. 3, 259–269.     pdf
  A60 Maximal solutions of singular diffusion equations with general initial data (authors: Ana Rodríguez, J. L. V.), Nonlinear diffusion equations and their equilibrium states, 3 (Gregynog, 1989), 471–484, Progr. Nonlinear Differential Equations Appl., 7 , Birkhäuser Boston, Boston, MA, 1992.     pdf
  A61 A nonlinear diffusion-absorption equation with unbounded initial data (authors: Shoshana Kamin, Lambertus A. Peletier, J. L. V.), Nonlinear diffusion equations and their equilibrium states, 3 (Gregynog, 1989), 243–263, Progr. Nonlinear Differential Equations Appl., 7 , Birkhäuser Boston, Boston, MA, 1992.     pdf
 
1993
  A62 A diffusion-convection equation in several space dimensions (authors: Miguel Escobedo, J. L. V., Enrike Zuazua), Indiana Univ. Math. J. 42 (1993), no. 4, 1413–1440.     pdf
  A63 Asymptotic behaviour and source-type solutions for a diffusion-convection equation (authors: Miguel Escobedo, J. L. V., Enrique Zuazua), Arch. Rational Mech. Anal. 124 (1993), no. 1, 43–65.     pdf
  A64 Nonlinear elliptic equations in RN without growth restrictions on the data (authors: Lucio Boccardo, Thierry Gallouët, J. L. V.), J. Differential Equations 105 (1993), no. 2, 334–363.     pdf
  A65 Regional blow up in a semilinear heat equation with convergence to a Hamilton-Jacobi equation (authors: Victor A. Galaktionov, J. L. V.), SIAM J. Math. Anal. 24 (1993), no. 5, 1254–1276.     pdf
  A66 The dipole solution for the porous medium equation in several space dimensions (authors: Josephus Hulsholf, J. L. V.), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 20 (1993), no. 2, 193–217.     pdf
  A67 A very singular solution for the dual porous medium equation and the asymptotic behaviour of general solutions (authors: Francisco Bernis, Josephus Hulsholf, J. L. V.), J. Reine Angew. Math. 435 (1993), 1–31.     pdf
  A68 Stabilization of solutions of weakly singular quenching problems (authors: Marek Fila, Howard Levine, J. L. V.), Proc. Amer. Math. Soc. 119 (1993), no. 2, 555–559.     pdf
  A69 Asymptotic behaviour of nonlinear parabolic equations. Anomalous exponents (author: J. L. V.), Degenerate diffusions (Minneapolis, MN, 1991), 215–228, IMA Vol. Math. Appl., 47 , Springer, New York, 1993.     pdf
  A70 Asymptotic behavior of the solutions of a nonlinear Fokker-Planck equation with Dirichlet boundary conditions (authors: Elena Comparini, Riccardo Ricci, J. L. V.), J. Math. Anal. Appl. 175 (1993), no. 2, 606–631.     pdf
  A71 Solutions of a nonlinear ODE appearing in the theory of diffusion with absorption (authors: John B. Mcleod, Lambertus A. Peletier, J. L. V.), Free boundary problems in fluid flow with applications (Montreal, PQ, 1990), 190–193, Pitman Res. Notes Math. Ser., 282 , Longman Sci. Tech., Harlow, 1993.     pdf
  A72 A nonlinear diffusion-absorption equation with unbounded initial data (authors: Shoshana Kamin, Lambertus A. Peletier, J. L. V.), Free boundary problems in fluid flow with applications (Montreal, PQ, 1990), 157–160, Pitman Res. Notes Math. Ser., 282 , Longman Sci. Tech., Harlow, 1993.     pdf
 
1994
  A73 Self-similar solutions of the second kind for the modified porous medium equation (authors: Josephus Hulshof, J. L. V.), European J. Appl. Math. 5 (1994), no. 3, 391–403.     pdf
  A74 Asymptotic behaviour for an equation of superslow diffusion. The Cauchy problem (authors: Victor A. Galktionov, J. L. V.), Asymptotic Anal. 8 (1994), no. 2, 145–159.     pdf
  A75 Asymptotic behaviour for an equation of superslow diffusion in a bounded domain (authors: Victor A. Galktionov, Robert Kersner, J. L. V.), Asymptotic Anal. 8 (1994), no. 3, 237–246.     pdf
  A76 Extinction for a quasilinear heat equation with absorption. II. A dynamical systems approach (authors: Victor A. Galktionov, J. L. V.), Comm. Partial Differential Equations 19 (1994), no. 7-8, 1107–1137.     pdf
  A77 Extinction for a quasilinear heat equation with absorption. I. Technique of intersection comparison (authors: Victor A. Galktionov, J. L. V.), Comm. Partial Differential Equations 19 (1994), no. 7-8, 1075–1106.     pdf
  A78 Existence and uniqueness of solutions of diffusion-absorption equations with general data (authors: Magdalena Walías, J. L. V.), Differential Integral Equations 7 (1994), no. 1, 15–36.     pdf
  A79 Entropy solutions for diffusion-convection equations with partial diffusivity (authors: Miguel Escobedo, J. L. V., Enrike Zuazua), Trans. Amer. Math. Soc. 343 (1994), no. 2, 829–842.     pdf
 
1995
  A80 An L1-theory of existence and uniqueness of solutions of nonlinear elliptic equations (authors: Philippe Bénilan, Lucio Boccardo, Thierry Gallouët, Ron Gariepy, Michel Pierre, J. L. V.), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 22 (1995), no. 2, 241–273.     pdf
  A81 A free-boundary problem for the heat equation arising in flame propagation (authors: Luis A. Caffarelli, J. L. V.), Trans. Amer. Math. Soc. 347 (1995), no. 2, 411–441.     pdf
  A82 Anomalous exponents in nonlinear diffusion (authors: Donald G. Aronson, J. L. V.), Nonlinear Sci. 5 (1995), no. 1, 29–56.     pdf
  A83 Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasilinear heat equations (authors: Victor A. Galaktionov, J. L. V.), Arch. Rational Mech. Anal. 129 (1995), no. 3, 225–244.     pdf
  A84 Continuation after blow-up of solutions of nonlinear heat equations (authors: Victor A. Galaktionov, J. L. V.), C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 5, 569–574.     pdf
  A85 On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term (authors: Ireneo Peral, J. L. V.), Arch. Rational Mech. Anal. 129 (1995), no. 3, 201–224.     pdf
  A86 Persistence of corners in free boundaries in Hele-Shaw flow (authors: John R. King, Andrew A. Lacey, J. L. V.). European J. Appl. Math. 6 (1995), no. 5, 455–490.     pdf
  A87 Asymptotic behaviour for the frictionless Vlasov-Poisson-Fokker-Planck system (authors: José A. Carrillo, Juan Soler, J. L. V.), C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 9, 1195–1200.     pdf
  A88 Asymptotic convergence to dipole solutions in nonlinear parabolic equations (authors: Victor A. Galaktionov, Sergey A. Posashkov, J. L. V.), Proc. Roy. Soc. Edinburgh Sect. A 125 (1995), no. 5, 877–900.     pdf
  A89 Lagrangian coordinates and regularity of interfaces in reaction-diffusion equations (authors: Sergei I. Shmarev, J. L. V.), C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 8, 993–998.     pdf
  A90 Geometrical properties of the solutions of one-dimensional nonlinear parabolic equations (authors: Victor A. Galaktionov, J. L. V.), Math. Ann. 303 (1995), no. 4, 741–769.     pdf
  A91 Self-similar turbulent bursts: existence and analytic dependence (authors: Fernando Quirós, J. L. V.), Differential Integral Equations 8 (1995), no. 7, 1677–1708.     pdf
  A92 Non-uniqueness of solutions of nonlinear heat equations of fast diffusion type (authors: Ana Rodríguez, J. L. V.), Ann. Inst. H. Poincaré Anal. Non Linéaire 12 (1995), no. 2, 173–200.     pdf
  A93 Different similarity regimes for the turbulent burst equation (authors: Fernando Quirós, J. L. V.), C. R. Acad. Sci. Paris Sér. I Math. 320 (1995), no. 5, 559–565.     pdf
 
1996
  A94 The free boundary problem for the heat equation with fixed gradient condition (author: J. L. V.), Free boundary problems, theory and applications (Zakopane, 1995), 277–302, Pitman Res. Notes Math. Ser., 363 , Longman, Harlow, 1996.     pdf
  A95 The fast diffusion equation with logarithmic nonlinearity and the evolution of conformal metrics in the plane (authors: Juan R. Esteban, Ana Rodríguez, J. L. V.), Adv. Differential Equations 1 (1996), no. 1, 21–50.     pdf
  A96 Different kinds of singular solutions of nonlinear parabolic equations (authors: Laurent Véron, J. L. V.), Nonlinear problems in applied mathematics, 240–249, SIAM, Philadelphia, PA, 1996.     pdf
  A97 Maximal viscosity solutions of the modified porous medium equation and their asymptotic behaviour (authors: Josephus Hulshof, J. L. V.), European J. Appl. Math. 7 (1996), no. 5, 453–471.     pdf
  A98 The regularity of solutions of reaction-diffusion equations via Lagrangian coordinates (authors: Sergei I. Shmarev, J. L. V.), NoDEA Nonlinear Differential Equations Appl. 3 (1996), no. 4, 465–497.     pdf
  A99 Entropy solutions and the uniqueness problem for nonlinear second-order elliptic equations (author: J. L. V.), Nonlinear partial differential equations (Fès, 1994), 179–203, Pitman Res. Notes Math. Ser., 343 , Longman, Harlow, 1996.     pdf
  A100 Asymptotic behaviour and self-similarity for the three-dimensional Vlasov-Poisson-Fokker-Planck system (authors: José A. Carrillo, Juan Soler, J. L. V.), J. Funct. Anal. 141 (1996), no. 1, 99–132.     pdf
  A101 The N-Laplacian elliptic equation: variational versus entropy solutions (authors: Luigi Boccardo, Ireneo Peral, J. L. V.), J. Math. Anal. Appl. 201 (1996), no. 3, 671–688.     pdf
  A102 Blow-up for quasilinear heat equations described by means of nonlinear Hamilton-Jacobi equations (authors: Victor A. Galaktionov, J. L. V.), J. Differential Equations 127 (1996), no. 1, 1–40.     pdf
  A103 Nonuniqueness in nonlinear heat propagation: a heat wave coming from infinity (authors: Manuela Chaves, J. L. V.), Differential Integral Equations 9 (1996), no. 3, 447–464.     pdf
 
1997
  A104 Mathematical model of the non-equilibrium water-oil displacement in porous strata (authors: Grigory I. Barenblatt, Jesús Garcia-Azorero, Arturo de Pablo, J. L. V.), Appl. Anal. 65 (1997), no. 1-2, 19–45.     pdf
  A105 The maximal solution of the logarithmic fast diffusion equation in two space dimensions (authors: Ana Rodríguez, Juan R. Esteban, J. L. V.), Adv. Differential Equations 2 (1997), no. 6, 867–894.     pdf
  A106 Blow-up solutions of some nonlinear elliptic problems (authors: H. Brezis, J. L. V.), Rev. Mat. Univ. Complut. Madrid 10 (1997), no. 2, 443–469.     pdf
  A107 Extinction and focusing behaviour of spherical and annular flames described by a free boundary problem (authors: Victor A. Galaktionov, Josephus Hulsholf, J. L. V.), J. Math. Pures Appl. (9) 76 (1997), no. 7, 563–608.     pdf
  A108 Incomplete blow-up and singular interfaces for quasilinear heat equations (authors: Victor A. Galaktionov, J. L. V.), Comm. Partial Differential Equations 22 (1997), no. 9-10, 1405–1452.     pdf
  A109 Optimal existence and uniqueness in a nonlinear diffusion-absorption equation with critical exponents (authors: Manuela Chaves, J. L. V., Magdalena Walías), Proc. Roy. Soc. Edinburgh Sect. A 127 (1997), no. 2, 217–242.     pdf
  A110 Focusing solutions for the p-Laplacian evolution equation (authors: Omar Gil, J. L. V.), Adv. Differential Equations 2 (1997), no. 2, 183–202.     pdf
  A111 Continuation of blowup solutions of nonlinear heat equations in several space dimensions (authors: Victor A. Galaktionov, J. L. V.), Comm. Pure Appl. Math. 50 (1997), no. 1, 1–67.     pdf
 
1998
  A112 A new free boundary problem for unsteady flows in porous media (authors: Grigory I. Barenblatt, J. L. V.), European J. Appl. Math. 9 (1998), no. 1, 37–54.     pdf
  A113 Limit behaviour of focusing solutions to nonlinear diffusions (authors: Donald G. Aronson, Omar Gil, J. L. V.), Comm. Partial Differential Equations 23 (1998), no. 1-2, 307–332.     pdf
  A114 A priori estimates, Lagrangian coordinates and the regularity of nonlinear diffusion equations. Dedicated to the memory of Julio E. Bouillet (author: J. L. V.), Rev. Un. Mat. Argentina 41 (1998), no. 1, 115–128.     pdf
  A115 Rate of approach to a singular steady state in quasilinear reaction-diffusion equations (authors: John W. Dold, Victor A. Galaktionov, Andrew A. Lacey, J. L. V.), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 26 (1998), no. 4, 663–687.     pdf
 
1999
  A116 Viscosity solutions for the porous medium equation (authors: Luis Caffarelli, J. L. V.), Differential equations: La Pietra 1996 (Florence), 13–26, Proc. Sympos. Pure Math., 65 , Amer. Math. Soc., Providence, RI, 1999.     pdf
  A117 Blow-up of a class of solutions with free boundaries for the Navier-Stokes equations (authors: Victor A. Galaktionov, J. L. V.), Adv. Differential Equations 4 (1999), no. 3, 297–321.     pdf
  A118 Asymptotic behaviour of the porous media equation in an exterior domain (authors: Fernando Quirós, J. L. V.), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 28 (1999), no. 2, 183–227.     pdf
  A119 Domain of existence and blowup for the exponential reaction-diffusion equation (author: J. L. V.), Indiana Univ. Math. J. 48 (1999), no. 2, 677–709.     pdf
  A120 Free boundary layer formation in nonlinear heat propagation (authors: Manuela Chaves, J. L. V.), Comm. Partial Differential Equations 24 (1999), no. 11-12, 1945–1965.     pdf
  A121 Regularity of solutions and interfaces to degenerate parabolic equations. The intersection comparison method (authors: Victor A. Galaktionov, Sergei I. Shamrev, J. L. V.), Free boundary problems: theory and applications (Crete, 1997), 115–130, Chapman & Hall/CRC Res. Notes Math., 409 , Chapman & Hall/CRC, Boca Raton, FL, 1999.     pdf
  A122 Asymptotic behaviour of a generalized Burgers' equation (authors: Guillermo Reyes, J. L. V.), J. Math. Pures Appl. (9) 78 (1999), no. 6, 633–666.     pdf
  A123 Second-order interface equations for nonlinear diffusion with very strong absorption (authors: Victor A. Galaktionov, Sergei I. Shamrev, J. L. V.), Commun. Contemp. Math. 1 (1999), no. 1, 51–64.     pdf
  A124 Las ecuaciones de la filtración de fluidos en los medios porosos (author: J. L. V.), Boletín de SEMA (Sociedad Española de Matemática Aplicada) 14 (1999), 37-83.     pdf
   

Research Books as Editor

  BE1 Reunión Hispano-Italiana de Análisis No Lineal y Matemática Aplicada (Editors: L. Boccardo, J. I. Díaz, E. di Benedetto, M. A. Herrero, A. Tesei, J. L. V.), 1989. Quaderno 27, Istituto Appl. Calcolo, C. N. R., Roma, Italia, 1989.    
  BE2 Degenerate Diffusions (Editors: W. M. Ni, L. A. Peletier, J. L. V.), 1993. IMA Volumes in Mathematics and its Applications, 47, Springer Verlag (Proceedings of the Conference on Degenerate Diffusions Minneapolis, May 1991).    
  BE3 Free boundary problems: theory and applications (Editors: J. I. Díaz, M. A. Herrero, A. Liñán, J. L. V.), 1993. Proceedings of the International Conference on Free Boundary Problems held in Toledo, Spain, 1993.    
   

Conference Proceedings

  C1 Existence of solutions with compact support for a semilinear differential equation on an unbounded open set (author: J. L. V.), (Spanish) Proceedings of the sixth conference of Portuguese and Spanish mathematicians, Part I (Santander, 1979). Rev. Univ. Santander No. 2, part 1 (1979), 453–455.     pdf
  C2 Some semilinear partial differential problems with measures (author: J. L. V.), Proceedings of the second conference on differential equations and their applications, I (Valldoreix, 1979). Publ. Sec. Mat. Univ. Autònoma Barcelona, No. 18, (1980), 175–187.     pdf
  C3 Propagation properties of the solutions of a nonlinear parabolic equation. (authors: Miguel A. Herrero, J. L. V.), (Italian) Matematiche (Catania) 36 (1981), no. 1, 126–132 (1983).     pdf
  C4 Large time behaviour of the solutions of the one-dimensional porous media equation (author: J. L. V.), Free boundary problems: theory and applications, Vol. I, II (Montecatini, 1981), 167–177, Res. Notes in Math., 78 , Pitman, Boston, MA, 1983.     pdf
  C5 Convexity properties of the solutions of nonlinear heat equations (author: J. L. V.), Contributions to nonlinear partial differential equations, Vol. II (Paris, 1985), 249–266, Pitman Res. Notes Math. Ser., 155 , Longman Sci. Tech., Harlow, 1987.     pdf
  C6 Some regularity results for some nonlinear parabolic equations in L1 (authors: Lucio Boccardo, Thierry Gallouët, J. L. V.), Some topics in nonlinear PDEs (Turin, 1989). Rend. Sem. Mat. Univ. Politec. Torino 1989, Special Issue, 69–74 (1991).     pdf
  C7 The nonlinear heat equation. (author: J. L. V.), (Spanish) Proceedings of the Mathematical Meeting in Honor of A. Dou (Spanish) (Madrid, 1988), 251–258, Editorial Univ. Complutense Madrid, Madrid, 1989.     pdf
  C8 Regularity of solutions of the p-Laplacian nonlinear evolution equation. (authors: Juan R. Esteban, J. L. V.), (Spanish) Proceedings of the XIth Congress on Differential Equations and Applications/First Congress on Applied Mathematics (Spanish) (Málaga, 1989), 561–565, Univ. Málaga, Málaga, 1990.     pdf
  C9 Singular solutions and asymptotic behaviour of nonlinear parabolic equations (author: J. L. V.), International Conference on Differential Equations, Vol. 1, 2 (Barcelona, 1991), 234–249, World Sci. Publ., River Edge, NJ, 1993.     pdf
  C10 Self-similar turbulences. Existence and analytic dependence. (authors: Fernando Quirós, J. L. V.), (Spanish) III Congress on Applied Mathematics/XIII Congress on Differential Equations and Applications (Spanish) (Madrid, 1993), 363–368, Univ. Politéc. Madrid, Madrid.     pdf
  C11 Asymptotic behavior of nonlinear parabolic equations (authors: J. L. V.), (Spanish) III Congress on Applied Mathematics/XIII Congress on Differential Equations and Applications (Madrid, 1993), 38–58, Univ. Politéc. Madrid, Madrid, 1993.     pdf
  C12 A dynamical systems approach for the asymptotic analysis of nonlinear heat equations (authors: Victor A. Galaktionov, J. L. V.), International Conference on Differential Equations (Lisboa, 1995), 82–106, World Sci. Publ., River Edge, NJ, 1998.     pdf
  C13 Boundary layer formation in a free boundary problem with nonlinear heat propagation. (authors: Manuela Chaves, J. L. V.), (Spanish) XV Congress on Differential Equations and Applications/V Congress on Applied Mathematics, vols. I, II (Vigo, 1997), 407–412, Colecc. Congr., 9 , Univ. Vigo, Vigo, 1998.     pdf
  C14 Blow-up problems in evolution equations (author: J. L. V.), (Spanish) XV Congress on Differential Equations and Applications/V Congress on Applied Mathematics, Vol. I, II (Spanish) (Vigo, 1997), 101–107, Colecc. Congr., 9 , Univ. Vigo, Vigo, 1998.     pdf
  C15 Regularity of interfaces in diffusion processes under the influence of strong absorption (authors: Victor A. Galaktionov, Sergei I. Shmarev, J. L. V.), Arch. Ration. Mech. Anal. 149 (1999), no. 3, 183–212.     pdf