Partial symmetry and existence of least energy solutions to some nonlinear elliptic equations on Riemannian models
| Autor: | Berchio, E., Ferrero, A., Vallarino, M. |
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| Rok vydání: | 2014 |
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| Druh dokumentu: | Working Paper |
| Popis: | We consider least energy solutions to the nonlinear equation $-\Delta_g u=f(r,u)$ posed on a class of Riemannian models $(M,g)$ of dimension $n\ge 2$ which include the classical hyperbolic space $\mathbb H^n$ as well as manifolds with unbounded sectional geometry. Partial symmetry and existence of least energy solutions is proved for quite general nonlinearities $f(r,u)$, where $r$ denotes the geodesic distance from the pole of $M$. |
| Databáze: | arXiv |
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