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Symmetry results for nonlinear elliptic operators with unbounded drift |
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| Authors: | Alberto Farina Matteo Novaga Andrea Pinamonti |
| Institution: | 1. Faculté des Sciences, LAMFA-CNRS UMR 7352, Université de Picardie Jules Verne, 33, Rue Saint-Leu, 80039, Amiens, France 2. Institut Camille Jordan, CNRS UMR 5208, Université Claude Bernard Lyon I, Villeurbanne, France 4. Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, Pisa, Italy 3. Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126, Pisa, Italy |
| Abstract: | We prove the one-dimensional symmetry of solutions to elliptic equations of the form ?div(e G(x) a(|?u|)?u) = f(u) e G(x), under suitable energy conditions. Our results holds without any restriction on the dimension of the ambient space. |
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