Regularity of radial extremal solutions for some non-local semilinear equations A Capella, J Dávila, L Dupaigne, Y Sire Communications in Partial Differential Equations 36 (8), 1353-1384, 2011 | 305 | 2011 |

On an open question about functions of bounded variation J Dávila Calculus of Variations and Partial Differential Equations 15, 519-527, 2002 | 277 | 2002 |

Concentrating standing waves for the fractional nonlinear Schrödinger equation J Dávila, M Del Pino, J Wei Journal of Differential Equations 256 (2), 858-892, 2014 | 256 | 2014 |

Nonlocal anisotropic dispersal with monostable nonlinearity J Coville, J Dávila, S Martínez Journal of Differential Equations 244 (12), 3080-3118, 2008 | 173 | 2008 |

Pulsating fronts for nonlocal dispersion and KPP nonlinearity J Coville, J Dávila, S Martínez Annales de l'Institut Henri Poincaré C, Analyse non linéaire 30 (2), 179-223, 2013 | 140 | 2013 |

Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum J Dávila, M Del Pino, S Dipierro, E Valdinoci Analysis & PDE 8 (5), 1165-1235, 2015 | 136 | 2015 |

Existence and uniqueness of solutions to a nonlocal equation with monostable nonlinearity J Coville, J Dávila, S Martínez SIAM Journal on Mathematical Analysis 39 (5), 1693-1709, 2008 | 131 | 2008 |

A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem J Dávila, L Dupaigne, K Wang, J Wei Advances in Mathematics 258, 240-285, 2014 | 97 | 2014 |

Nondegeneracy of the bubble in the critical case for nonlocal equations J Dávila, M Del Pino, Y Sire Proceedings of the American Mathematical Society, 3865-3870, 2013 | 97 | 2013 |

Singularity formation for the two-dimensional harmonic map flow into J Dávila, M Del Pino, J Wei Inventiones mathematicae 219 (2), 345-466, 2020 | 90 | 2020 |

Gluing methods for vortex dynamics in Euler flows J Davila, M Del Pino, M Musso, J Wei Archive for Rational Mechanics and Analysis 235, 1467-1530, 2020 | 78 | 2020 |

Nonlocal -minimal surfaces and Lawson cones J Dávila, M Del Pino, J Wei Journal of Differential Geometry 109 (1), 111-175, 2018 | 77 | 2018 |

Stable solutions for the bilaplacian with exponential nonlinearity J Dávila, L Dupaigne, I Guerra, M Montenegro SIAM journal on mathematical analysis 39 (2), 565-592, 2007 | 76 | 2007 |

On the fractional Lane-Emden equation J Dávila, L Dupaigne, J Wei Transactions of the American Mathematical Society 369 (9), 6087-6104, 2017 | 72 | 2017 |

Positive versus free boundary solutions to a singular elliptic equation J Dávila, M Montenegro Journal d’Analyse Mathématique 90 (1), 303-335, 2003 | 71 | 2003 |

Hardy-type inequalities J Davila, L Dupaigne Journal of the European Mathematical Society 6 (3), 335-365, 2004 | 70 | 2004 |

The extremal solution of a boundary reaction problem J Dávila, L Dupaigne, M Montenegro AMER INST MATHEMATICAL SCIENCES, 2008 | 62 | 2008 |

Partial regularity of finite Morse index solutions to the Lane–Emden equation J Dávila, L Dupaigne, A Farina Journal of Functional Analysis 261 (1), 218-232, 2011 | 59 | 2011 |

Evolutionary stability of ideal free nonlocal dispersal C Cosner, J Dávila, S Martínez Journal of Biological Dynamics 6 (2), 395-405, 2012 | 55 | 2012 |

Multiplicity of solutions for a fourth order equation with power-type nonlinearity J Dávila, I Flores, I Guerra Mathematische Annalen 348 (1), 143-193, 2010 | 55 | 2010 |