We consider a class of variational equations with exponential non- linearities 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 equa- tion. This is used together with a min-max argument to obtain existence results.
Titolo: | Topological methods for an elliptic equation with exponential nonlinearities |
Autori: | |
Data di pubblicazione: | 2008 |
Rivista: | |
Parole Chiave: | Geometric PDEs, variational methods, min-max schemes. |
Handle: | http://hdl.handle.net/1234/56136 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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