| Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains M Bonforte, Y Sire, JL Vázquez arXiv preprint arXiv:1404.6195, 2014 | 196 | 2014 |
| Asymptotics of the fast diffusion equation via entropy estimates A Blanchet, M Bonforte, J Dolbeault, G Grillo, JL Vázquez Archive for Rational Mechanics and Analysis 191, 347-385, 2009 | 158 | 2009 |
| Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities M Bonforte, J Dolbeault, G Grillo, JL Vázquez Proceedings of the National Academy of Sciences 107 (38), 16459-16464, 2010 | 129 | 2010 |
| Quantitative local and global a priori estimates for fractional nonlinear diffusion equations M Bonforte, JL Vázquez Advances in Mathematics 250, 242-284, 2014 | 125 | 2014 |
| Optimal existence and uniqueness theory for the fractional heat equation M Bonforte, Y Sire, JL Vázquez Nonlinear Analysis: Theory, Methods & Applications 153, 142-168, 2017 | 108 | 2017 |
| A priori estimates for fractional nonlinear degenerate diffusion equations on bounded domains M Bonforte, JL Vázquez Archive for Rational Mechanics and Analysis 218, 317-362, 2015 | 108 | 2015 |
| Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations M Bonforte, JL Vázquez Advances in Mathematics 223 (2), 529-578, 2010 | 88 | 2010 |
| Hardy–Poincaré inequalities and applications to nonlinear diffusions A Blanchet, M Bonforte, J Dolbeault, G Grillo, JL Vázquez Comptes rendus. Mathématique 344 (7), 431-436, 2007 | 80 | 2007 |
| Global positivity estimates and Harnack inequalities for the fast diffusion equation M Bonforte, JL Vázquez Journal of Functional Analysis 240 (2), 399-428, 2006 | 76 | 2006 |
| Behaviour near extinction for the Fast Diffusion Equation on bounded domains M Bonforte, G Grillo, JL Vazquez Journal de mathématiques pures et appliquées 97 (1), 1-38, 2012 | 64 | 2012 |
| Classification of radial solutions to the Emden–Fowler equation on the hyperbolic space M Bonforte, F Gazzola, G Grillo, JL Vázquez Calculus of Variations and Partial Differential Equations 46 (1), 375-401, 2013 | 57 | 2013 |
| Local smoothing effects, positivity, and Harnack inequalities for the fast p-Laplacian equation M Bonforte, RG Iagar, JL Vázquez Advances in Mathematics 224 (5), 2151-2215, 2010 | 57 | 2010 |
| Fast diffusion flow on manifolds of nonpositive curvature M Bonforte, G Grillo, JL Vazquez Journal of Evolution Equations 8, 99-128, 2008 | 57 | 2008 |
| Fractional nonlinear degenerate diffusion equations on bounded domains part I. Existence, uniqueness and upper bounds M Bonforte, JL Vázquez Nonlinear Analysis 131, 363-398, 2016 | 56 | 2016 |
| Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains M Bonforte, A Figalli, JL Vázquez Analysis & PDE 11 (4), 945-982, 2018 | 55 | 2018 |
| Total variation flow and sign fast diffusion in one dimension M Bonforte, A Figalli Journal of Differential Equations 252 (8), 4455-4480, 2012 | 52 | 2012 |
| Special fast diffusion with slow asymptotics: Entropy method and flow on a riemannian manifold M Bonforte, G Grillo, JL Vázquez Archive for Rational Mechanics and Analysis 196 (2), 631-680, 2010 | 52 | 2010 |
| Infinite speed of propagation and regularity of solutions to the fractional porous medium equation in general domains M Bonforte, A Figalli, X Ros‐Oton Communications on Pure and Applied Mathematics 70 (8), 1472-1508, 2017 | 51 | 2017 |
| Asymptotics of the porous media equation via Sobolev inequalities M Bonforte, G Grillo Journal of Functional Analysis 225 (1), 33-62, 2005 | 51 | 2005 |
| Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations M Bonforte, A Figalli, JL Vázquez Calculus of Variations and Partial Differential Equations 57, 1-34, 2018 | 43 | 2018 |
Juan Luis VazquezEmeritus Professor of Mathematics, Universidad Autonoma de Madrid, SpainDirección de correo verificada de uam.es
