Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 29, pp. 1-7.

Title: An Orlicz-Sobolev space setting for quasilinear 
       elliptic problems 

Author: Nikolaos Halidias (Univ. of the Aegean, Samos, Greece)
 
Abstract: 
 In this paper we give two existence theorems  for a class of
 elliptic problems in an Orlicz-Sobolev space setting concerning
 both the sublinear and the superlinear case with Neumann boundary
 conditions. We use the classical critical point theory with
 the Cerami (PS)-condition.
 
Submitted October 14, 2004. Published March 8, 2005.
Math Subject Classifications: 32J15, 34J89, 35J60.
Key Words: Landesman-Laser conditions; critical point theory;
 nontrivial solution; Cerami (PS) condition; Mountain-Pass Theorem;
 interpolation inequality.