Juan Luis Vazquez

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Matteo BonforteUniversidad Autónoma de MadridVerified email at uam.es
Fernando Quiros GracianProfesor de matemáticas (UAM)Verified email at uam.es
Arturo de PabloUniversidad Carlos III de MadridVerified email at math.uc3m.es
José Antonio CarrilloUniversity of OxfordVerified email at maths.ox.ac.uk
Gabriele GrilloPolitecnico di MilanoVerified email at polimi.it
Shoshana KaminVerified email at post.tau.ac.il
Luis Caffarelliuniversity of texas at austinVerified email at math.utexas.edu
Alessio FigalliETH ZurichVerified email at math.ethz.ch
Lucio BoccardoDipartimento di Matematica / Sapienza Universita' di RomaVerified email at mat.uniroma1.it
David Gómez-CastroAssistant Professor, Universidad Complutense de MadridVerified email at ucm.es
Noemi WolanskiProfesor de Matematica UBAVerified email at dm.uba.ar
Giuseppe MingioneSith InstructorVerified email at unipr.it
Manuel del PinoUniversity of BathVerified email at bath.ac.uk
LAURENT VERONprofesseur de mathématiques, Université de ToursVerified email at univ-tours.fr
yannick sireJohns Hopkins universityVerified email at math.jhu.edu
Enzo VitillaroProfessore di Analisi Matematica, Università di PerugiaVerified email at unipg.it
Jean DOLBEAULTCeremade, Université Paris-DauphineVerified email at ceremade.dauphine.fr
Andrew LaceyHeriot-Watt UniversityVerified email at hw.ac.uk
Sergey ShmarevUniversity of OviedoVerified email at uniovi.es
Jesús Ildefonso DíazProfessor Applied MathematicsVerified email at ucm.es

Juan Luis Vazquez

Emeritus Professor of Mathematics, Universidad Autonoma de Madrid, Spain

Verified email at uam.es - Homepage

Partial Differential Equations Nonlinear Analysis Analysis of PDEs


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The porous medium equation: mathematical theory JL Vázquez Oxford University Press, 2007	2138	2007
A strong maximum principle for some quasilinear elliptic equations JL Vázquez Applied Mathematics and Optimization 12, 191-202, 1984	1402	1984
An -theory of existence and uniqueness of solutions of nonlinear elliptic equations P Bénilan, L Boccardo, T Gallouët, R Gariepy, M Pierre, JL Vázquez Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 22 (2), 241-273, 1995	1302	1995
Blow-up solutions of some nonlinear elliptic problems H Brezis, JL Vázquez Rev. Mat. Univ. Complut. Madrid 10 (2), 443-469, 1997	767	1997
Smoothing and decay estimates for nonlinear diffusion equations: equations of porous medium type JL Vázquez OUP Oxford, 2006	553	2006
The problem of blow-up in nonlinear parabolic equations VA Galaktionov, JL Vázquez Discrete and continuous dynamical systems 8 (2), 399-434, 2002	502	2002
The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential JL Vazquez, E Zuazua Journal of Functional Analysis 173 (1), 103-153, 2000	480	2000
Continuation of blowup solutions of nonlinear heat equations in several space dimensions VA Galaktionov, JL Vazquez Communications on Pure and Applied Mathematics: A Journal Issued by the …, 1997	396	1997
On the equation of turbulent filtration in one-dimensional porous media JR Esteban, JL Vázquez Nonlinear Anal 10 (11), 1303-1325, 1986	281	1986
A fractional porous medium equation A de Pablo, F Quirós, A Rodríguez, JL Vázquez Advances in Mathematics 226 (2), 1378-1409, 2011	239	2011
Nonlinear porous medium flow with fractional potential pressure LA Caffarelli, JL Vazquez arXiv preprint arXiv:1001.0410, 2010	232	2010
An introduction to the mathematical theory of the porous medium equation JL Vázquez Shape optimization and free boundaries, 347-389, 1992	226	1992
A general fractional porous medium equation A de Pablo, F Quirós, A Rodríguez, JL Vázquez Communications on Pure and Applied Mathematics 65 (9), 1242-1284, 2012	216	2012
Nonlinear diffusion with fractional Laplacian operators JL Vázquez Nonlinear partial differential equations: the Abel Symposium 2010, 271-298, 2012	207	2012
Asymptotic behaviour for the porous medium equation posed in the whole space JL Vázquez Nonlinear Evolution Equations and Related Topics: Dedicated to Philippe …, 2003	206	2003
Fundamental Solutions and Asymptotic Behaviour for the -Laplacian Equation S Kamin, JL Vázquez Revista Matemática Iberoamericana 4 (2), 339-354, 1988	200	1988
Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators JL Vázquez arXiv preprint arXiv:1401.3640, 2014	194	2014
Nonlinear elliptic equations in RN without growth restrictions on the data L Boccardo, T Gallouët, JL Vázquez Journal of Differential Equations 105 (2), 334-363, 1993	187	1993
The Hele–Shaw asymptotics for mechanical models of tumor growth B Perthame, F Quirós, JL Vázquez Archive for Rational Mechanics and Analysis 212, 93-127, 2014	177	2014
Lipschitz continuity of solutions and interfaces of the n–dimensional porous medium equation LA Caffarelli, JL Vázquez, NI Wolanski Indiana University mathematics journal 36 (2), 373-401, 1987	176	1987

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