| Title | Topological methods for an elliptic equation with exponential nonlinearities |
| Publication Type | Journal Article |
| Year of Publication | 2008 |
| Authors | Malchiodi, A |
| Journal | Discrete Contin. Dyn. Syst. 21 (2008) 277-294 |
| Abstract | We consider a class of variational equations with exponential nonlinearities on compact surfaces. From considerations involving the Moser-Trudinger inequality, we characterize some sublevels of the Euler-Lagrange functional in terms of the topology of the surface and of the data of the equation. This is used together with a min-max argument to obtain existence results. |
| URL | http://hdl.handle.net/1963/2594 |
| DOI | 10.3934/dcds.2008.21.277 |
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