TY - JOUR
T1 - Topological methods for an elliptic equation with exponential nonlinearities
JF - Discrete Contin. Dyn. Syst. 21 (2008) 277-294
Y1 - 2008
A1 - Andrea Malchiodi
AB - 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.
UR - http://hdl.handle.net/1963/2594
U1 - 1528
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -