Nonlinear equations for fractional Laplacians I: Regularity, maximum principles, and Hamiltonian estimates X Cabré, Y Sire arXiv preprint arXiv:1012.0867, 2010 | 419* | 2010 |

Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result Y Sire, E Valdinoci arXiv preprint arXiv:0801.2355, 2008 | 217 | 2008 |

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 | 216 | 2011 |

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 | 198 | 2015 |

Variational problems with free boundaries for the fractional Laplacian LA Caffarelli, JM Roquejoffre, Y Sire Journal of the European Mathematical Society 12 (5), 1151-1179, 2010 | 186 | 2010 |

Nonlocal equations with measure data T Kuusi, G Mingione, Y Sire Communications in Mathematical Physics 337 (3), 1317-1368, 2015 | 91 | 2015 |

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 | 75 | 2014 |

Nonlocal self-improving properties T Kuusi, G Mingione, Y Sire Analysis & PDE 8 (1), 57-114, 2015 | 64 | 2015 |

ANALYSIS & PDE T KUUSI, G MINGIONE, Y SIRE | 64* | |

Construction of invariant whiskered tori by a parameterization method. Part I: Maps and flows in finite dimensions E Fontich, R de la Llave, Y Sire Journal of Differential Equations 246 (8), 3136-3213, 2009 | 56 | 2009 |

Non degeneracy of the bubble in the critical case for non local equations J Dávila, M Del Pino, Y Sire arXiv preprint arXiv:1302.0276, 2013 | 54 | 2013 |

On a fractional Ginzburg–Landau equation and 1/2-harmonic maps into spheres V Millot, Y Sire Archive for Rational Mechanics and Analysis 215 (1), 125-210, 2015 | 50 | 2015 |

Singular solutions of fractional order conformal Laplacians M del Mar González, R Mazzeo, Y Sire Journal of Geometric Analysis 22 (3), 845-863, 2012 | 48 | 2012 |

On fractional schrodinger equations in sobolev spaces Y Hong, Y Sire arXiv preprint arXiv:1501.01414, 2015 | 47 | 2015 |

Generalized fronts for one-dimensional reaction-diffusion equations A Mellet, JM Roquejoffre, Y Sire Discrete Contin. Dyn. Syst 26 (1), 303-312, 2010 | 46 | 2010 |

Odorous compounds treatment of winery and distillery effluents during natural evaporation in ponds A Bories, Y Sire, T Colin Water Science and Technology 51 (1), 129-136, 2005 | 43 | 2005 |

Computation of whiskered invariant tori and their associated manifolds: new fast algorithms G Huguet, R De La Llave, Y Sire arXiv preprint arXiv:1004.5231, 2010 | 39 | 2010 |

Treatment and valorisation of winery wastewater by a new biophysical process (ECCF®) T Colin, A Bories, Y Sire, R Perrin Water Science and technology 51 (1), 99-106, 2005 | 39 | 2005 |

Stable solutions of elliptic equations on Riemannian manifolds A Farina, Y Sire, E Valdinoci Journal of Geometric Analysis 23 (3), 1158-1172, 2013 | 37 | 2013 |

Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities L Caffarelli, T Jin, Y Sire, J Xiong Archive for Rational Mechanics and Analysis 213 (1), 245-268, 2014 | 35 | 2014 |