Fully nonlinear elliptic equations LA Caffarelli, X Cabré American Mathematical Soc., 1995 | 2812* | 1995 |

Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates X Cabré, Y Sire Annales de l'Institut Henri Poincaré C, Analyse non linéaire 31 (1), 23-53, 2014 | 653 | 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 | 638 | 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 | 432 | 2000 |

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 | 342 | 2003 |

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 | 330 | 2005 |

Some simple nonlinear PDE's without solutions H Brezis, X Cabré Bollettino della Unione Matematica Italiana-B 1 (2), 223-262, 1998 | 329 | 1998 |

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 | 326 | 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 | 284 | 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 | 244 | 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 | 227 | 2003 |

The influence of fractional diffusion in Fisher-KPP equations X Cabré, JM Roquejoffre Communications in Mathematical Physics 320 (3), 679-722, 2013 | 198 | 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 | 181 | 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 | 176 | 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 | 152 | 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 | 110 | 2010 |

Sobolev and isoperimetric inequalities with monomial weights X Cabré, X Ros-Oton Journal of Differential Equations 255 (11), 4312-4336, 2013 | 105 | 2013 |

Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian X Cabré, E Cinti arXiv preprint arXiv:1004.2866, 2010 | 104 | 2010 |

Nondivergent elliptic equations on manifolds with nonnegative curvature X Cabré Communications on Pure and Applied Mathematics: A Journal Issued by the …, 1997 | 100 | 1997 |

Saddle-shaped solutions of bistable diffusion equations in all of J Terra, X Cabré Journal of the European Mathematical Society 11 (4), 819-843, 2009 | 99 | 2009 |