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.
Topological methods for an elliptic equation with exponential nonlinearities
MALCHIODI, ANDREA
2008
Abstract
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
