2026 Juan Luis Vázquez: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	75	201	168	2	2	357	23571

Research.com Recognitions

2026 - Research.com Mathematics in Spain Leader Award
2025 - Research.com Mathematics in Spain Leader Award
2022 - Research.com Mathematics in Spain Leader Award
2016 - Member of the European Academy of Sciences
2013 - Fellow of the American Mathematical Society

Overview

Juan Luis Vázquez is affiliated with the Autonomous University of Madrid in Spain. Their research spans various fields primarily centered on Mathematics and Computer Science, with a strong emphasis on applied and computational theory within mathematics.

The main fields of study connected to their work include:

Mathematics
Computer Science

Within these fields, their subfields of focus cover:

Applied Mathematics
Computational Theory and Mathematics
Mathematical Physics
Modeling and Simulation
Numerical Analysis

The primary topics of their work involve:

Nonlinear Partial Differential Equations
Advanced Mathematical Modeling in Engineering
Nonlinear Differential Equations Analysis
Advanced Mathematical Physics Problems
Differential Equations and Numerical Methods
Mathematical Biology Tumor Growth
Numerical methods in inverse problems

This researcher has published extensively, with notable recent papers including:

"Characterisation of homogeneous fractional Sobolev spaces" (2021) published in Institutional Research Information System University of Ferrara (University of Ferrara)
"The evolution fractional p-Laplacian equation in ℝ^N. Fundamental solution and asymptotic behaviour" (2020) published in Nonlinear Analysis
"Anisotropic -Laplacian Evolution of Fast Diffusion Type" (2021) published in Advanced Nonlinear Studies
"Singular boundary behaviour and large solutions for fractional elliptic equations" (2022) published in Journal of the London Mathematical Society
"Galileo High Accuracy Service (HAS) Algorithm and Receiver Development and Testing" (2022) published in Proceedings of the Satellite Division's International Technical Meeting

Frequent co-authors in their work include:

David Gómez-Castro
Bruno Volzone
Hardy Chan
Félix del Teso
Filomena Feo

Their research has appeared regularly in specific venues, with multiple publications in:

arXiv (Cornell University)
Nonlinear Analysis
Calculus of Variations and Partial Differential Equations
Advanced Nonlinear Studies
DOAJ (DOAJ: Directory of Open Access Journals)

Recognition within the scientific community includes:

Member of the European Academy of Sciences (2016)
Fellow of the American Mathematical Society (2013)

Best Publications

The Porous Medium Equation: Mathematical Theory

Juan Luis Vázquez

2018
Citations
A Strong Maximum Principle for some quasilinear elliptic equations

J. L. Vázquez

1489
Citations
An $L^1$ -theory of existence and uniqueness of solutions of nonlinear elliptic equations

Philippe Bénilan;Lucio Boccardo;Thierry Gallouët;Ron Gariepy

1281
Citations
The Porous Medium Equation

Juan Luis Vazquez

1070
Citations
Blow-up solutions of some nonlinear elliptic problems

Haim Brezis;Juan Luis Vázquez

734
Citations
The problem of blow-up in nonlinear parabolic equations

Victor A. Galaktionov;Juan-Luis Vázquez

526
Citations
The Hardy Inequality and the Asymptotic Behaviour of the Heat Equation with an Inverse-Square Potential

Juan Luis Vazquez;Enrike Zuazua

525
Citations
Smoothing and decay estimates for nonlinear diffusion equations : equations of porous medium type

Juan Luis Vázquez

517
Citations
Smoothing and Decay Estimates for Nonlinear Diffusion Equations

Juan Luis Vázquez

448
Citations
Continuation of blowup solutions of nonlinear heat equations in several space dimensions

Victor A. Galaktionov;Juan L. Vazquez

419
Citations
Nonlinear Porous Medium Flow with Fractional Potential Pressure

Luis Caffarelli;Juan Luis Vazquez

385
Citations
On the equation of turbulent filtration in one-dimensional porous media

J R Esteban;J L Vazquez

289
Citations
A fractional porous medium equation

Arturo de Pablo;Fernando Quirós;Ana Rodríguez;Juan Luis Vázquez

267
Citations
Fundamental Solutions and Asymptotic Behaviour for the $p$-Laplacian Equation

Shoshana Kamin;Juan Luis Vázquez

264
Citations
A General Fractional Porous Medium Equation

Arturo de Pablo;Fernando Quirós;Ana Rodríguez;Juan Luis Vázquez

245
Citations
Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains

Matteo Bonforte;Yannick Sire;Juan Luis Vázquez

224
Citations
Nonlinear Diffusion with Fractional Laplacian Operators

Juan Luis Vázquez

220
Citations
Recent progress in the theory of Nonlinear Diffusion with Fractional Laplacian Operators

Juan Luis Vazquez

218
Citations
An Introduction to the Mathematical Theory of the Porous Medium Equation

Juan Luis Vazquez

217
Citations
Asymptotic behaviour for the porous medium equation posed in the whole space

Juan Luis Vázquez

207
Citations

Frequent Co-Authors

Victor A. Galaktionov University of Bath

José A. Carrillo University of Oxford

Luis A. Caffarelli The University of Texas at Austin

Grigory Isaakovich Barenblatt University of California, Berkeley

Michael Winkler University of Paderborn

Jesús Ildefonso Díaz Díaz Complutense University of Madrid

Lambertus A. Peletier Leiden University

Alessio Figalli ETH Zurich

Jean Dolbeault Paris Dauphine University

Laurent Veron François Rabelais University

External Links

Wikipedia of Juan Luis Vázquez Personal website of Juan Luis Vázquez Google Scholar page

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