| Fully nonlinear elliptic equations LA Caffarelli, X Cabré American Mathematical Soc., 1995 | 2555* | 1995 |
| Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates X Cabré, Y Sire Annales de l'Institut Henri Poincare C 31 (1), 23-53, 2014 | 612 | 2014 |
| Positive solutions of nonlinear problems involving the square root of the Laplacian X Cabré, J Tan Advances in Mathematics 224 (5), 2052-2093, 2010 | 599 | 2010 |
| Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi L Ambrosio, X Cabré Journal of the American Mathematical Society 13 (4), 725-739, 2000 | 413 | 2000 |
| Some simple nonlinear PDE's without solutions H Brezis, X Cabré Bollettino della Unione Matematica Italiana-B 1 (2), 223-262, 1998 | 320 | 1998 |
| Layer solutions in a half‐space for boundary reactions X Cabré, J Solà‐Morales Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2005 | 299 | 2005 |
| The parameterization method for invariant manifolds I: manifolds associated to non-resonant subspaces X Cabré, E Fontich, R de la Llave Indiana University mathematics journal, 283-328, 2003 | 297 | 2003 |
| The parameterization method for invariant manifolds III: overview and applications X Cabré, E Fontich, R De La Llave Journal of Differential Equations 218 (2), 444-515, 2005 | 289 | 2005 |
| Nonlinear equations for fractional Laplacians II: existence, uniqueness, and qualitative properties of solutions X Cabré, Y Sire Transactions of the American Mathematical Society 367 (2), 911-941, 2015 | 265 | 2015 |
| On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property G Alberti, L Ambrosio, X Cabré Acta Applicandae Mathematica 65, 9-33, 2001 | 239 | 2001 |
| The parameterization method for invariant manifolds II: regularity with respect to parameters X Cabré, E Fontich, R de la Llave Indiana University mathematics journal, 329-360, 2003 | 204 | 2003 |
| The influence of fractional diffusion in Fisher-KPP equations X Cabré, JM Roquejoffre Communications in Mathematical Physics 320 (3), 679-722, 2013 | 181 | 2013 |
| Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier X Cabré, Y Martel Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 329 (11), 973-978, 1999 | 166 | 1999 |
| On the alexandroff‐bakelman‐pucci estimate and the reversed hölder inequality for solutions of elliptic and parabolic equations X Cabré Communications on Pure and Applied Mathematics 48 (5), 539-570, 1995 | 164 | 1995 |
| Regularity of radial minimizers and extremal solutions of semilinear elliptic equations X Cabré, A Capella Journal of Functional Analysis 238 (2), 709-733, 2006 | 144 | 2006 |
| Regularity of minimizers of semilinear elliptic problems up to dimension 4 X Cabré Communications on pure and applied mathematics 63 (10), 1362-1380, 2010 | 102 | 2010 |
| Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian X Cabré, E Cinti arXiv preprint arXiv:1004.2866, 2010 | 102 | 2010 |
| Saddle-shaped solutions of bistable diffusion equations in all of ℝ2m J Terra, X Cabré Journal of the European Mathematical Society 11 (4), 819-943, 2009 | 99 | 2009 |
| Weak eigenfunctions for the linearization of extremal elliptic problems X Cabré, Y Martel journal of functional analysis 156 (1), 30-56, 1998 | 95 | 1998 |
| Sharp energy estimates for nonlinear fractional diffusion equations X Cabré, E Cinti Calculus of Variations and Partial Differential Equations 49 (1-2), 233-269, 2014 | 92 | 2014 |
Luis Caffarelliuniversity of texas at austinEmail verificata su math.utexas.edu
