An Orlicz-Sobolev space setting for quasilinear elliptic problems

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.

Keywords

• Landesman-Laser conditions
• critical point theory
• nontrivial solution
• Cerami (PS) condition
• Mountain-Pass Theorem
• interpolation inequality.