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 | 651 | 2014 |
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 | 304 | 2011 |
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 | 302 | 2010 |
Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result Y Sire, E Valdinoci Journal of Functional Analysis 256 (6), 1842-1864, 2009 | 296 | 2009 |
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 | 286 | 2015 |
Nonlocal equations with measure data T Kuusi, G Mingione, Y Sire Communications in Mathematical Physics 337, 1317-1368, 2015 | 207 | 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 | 186 | 2014 |
Nonlocal self-improving properties T Kuusi, G Mingione, Y Sire Analysis & PDE 8 (1), 57-114, 2015 | 140 | 2015 |
On fractional Schrodinger equations in Sobolev spaces Y Hong, Y Sire arXiv preprint arXiv:1501.01414, 2015 | 122 | 2015 |
On a fractional Ginzburg–Landau equation and 1/2-harmonic maps into spheres V Millot, Y Sire Archive for Rational Mechanics and Analysis 215, 125-210, 2015 | 100 | 2015 |
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 | 98 | 2017 |
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 | 95 | 2013 |
Singular solutions of fractional order conformal Laplacians M del Mar González, R Mazzeo, Y Sire Journal of Geometric Analysis 22, 845-863, 2012 | 82 | 2012 |
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 | 76 | 2009 |
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, 245-268, 2014 | 73 | 2014 |
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 | 68 | 2010 |
Vitis vinifera L. Fruit Diversity to Breed Varieties Anticipating Climate Changes A Bigard, DT Berhe, E Maoddi, Y Sire, JM Boursiquot, H Ojeda, JP Péros, ... Frontiers in Plant Science 9, 455, 2018 | 62 | 2018 |
Stable solutions of elliptic equations on Riemannian manifolds A Farina, Y Sire, E Valdinoci Journal of Geometric Analysis 23, 1158-1172, 2013 | 59 | 2013 |
Developmental, molecular and genetic studies on grapevine response to temperature open breeding strategies for adaptation to warming L Torregrosa, A Bigard, A Doligez, D Lecourieux, M Rienth, N Luchaire, ... Oeno One, 2017 | 55 | 2017 |
Generalized fronts for one-dimensional reaction-diffusion equations A Mellet, JM Roquejoffre, Y Sire Discrete Contin. Dyn. Syst 26 (1), 303-312, 2010 | 55 | 2010 |