On the classification of solutions of the Lane–Emden equation on unbounded domains of RN A Farina Journal de mathématiques pures et appliquées 87 (5), 537-561, 2007 | 344 | 2007 |
Bernstein and De Giorgi type problems: new results via a geometric approach A Farina, B Sciunzi, E Valdinoci Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 7 (4), 741-791, 2008 | 181 | 2008 |
Symmetry for solutions of semilinear elliptic equations in R^N and related conjectures A Farina Ricerche Mat. 48, 129–154, 1999 | 153 | 1999 |
Flattening results for elliptic PDEs in unbounded domains with applications to overdetermined problems A Farina, E Valdinoci Archive for rational mechanics and analysis 195, 1025-1058, 2010 | 114 | 2010 |
Stable solutions of− Δu= eu on RN A Farina Comptes Rendus Mathematique 345 (2), 63-66, 2007 | 106* | 2007 |
Stable solutions of in L Dupaigne, A Farina Journal of the European Mathematical Society 12 (4), 855-882, 2010 | 105 | 2010 |
The state of the art for a conjecture of De Giorgi and related problems A Farina, E Valdinoci Recent progress on reaction-diffusion systems and viscosity solutions, 74-96, 2009 | 98 | 2009 |
Liouville results for m-Laplace equations of Lane–Emden–Fowler type L Damascelli, A Farina, B Sciunzi, E Valdinoci Annales de l'Institut Henri Poincaré C, Analyse non linéaire 26 (4), 1099-1119, 2009 | 97 | 2009 |
On the classification of solutions of-Δ𝑢= 𝑒^{𝑢} on ℝ^{ℕ}: stability outside a compact set and applications E Dancer, A Farina Proceedings of the American Mathematical Society 137 (4), 1333-1338, 2009 | 90 | 2009 |
Remarks on an overdetermined boundary value problem A Farina, B Kawohl Calculus of Variations and Partial Differential Equations 31, 351-357, 2008 | 87 | 2008 |
Liouville-type theorems for elliptic problems A Farina Handbook of differential equations: stationary partial differential …, 2007 | 79 | 2007 |
Splitting theorems, symmetry results and overdetermined problems for Riemannian manifolds A Farina, L Mari, E Valdinoci Communications in Partial Differential Equations 38 (10), 1818-1862, 2013 | 76 | 2013 |
Entire solutions of completely coercive quasilinear elliptic equations A Farina, J Serrin Journal of Differential Equations 250 (12), 4367–4408, 2011 | 69 | 2011 |
Stable solutions of elliptic equations on Riemannian manifolds A Farina, Y Sire, E Valdinoci Journal of Geometric Analysis 23, 1158-1172, 2013 | 60 | 2013 |
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 |
From Ginzburg-Landau to Gross-Pitaevskii A Farina Monatshefte für Mathematik 139 (4), 265-269, 2003 | 52 | 2003 |
Liouville-type results for solutions of− Δu=| u| p− 1u on unbounded domains of RN A Farina Comptes Rendus Mathematique 341 (7), 415-418, 2005 | 51 | 2005 |
1D symmetry for solutions of semilinear and quasilinear elliptic equations A Farina, E Valdinoci Transactions of the American Mathematical Society 363 (2), 579-609, 2011 | 50 | 2011 |
Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations M Cozzi, A Farina, E Valdinoci arXiv preprint arXiv:1305.2303, 2013 | 47 | 2013 |
Monotonicity and one-dimensional symmetry for solutions of −Δ p u = f(u) in half-spaces A Farina, L Montoro, B Sciunzi Calculus of Variations and Partial Differential Equations 43, 123-145, 2012 | 47 | 2012 |