An Orlicz-Sobolev space setting for quasilinear elliptic problems

An Orlicz-Sobolev space setting for quasilinear elliptic problems

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.

Bibliographic Details
Main Author: Nikolaos Halidias
Format: Article
Language:English
Published: Texas State University 2003-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Landesman-Laser conditions
critical point theory
nontrivial solution
Cerami (PS) condition
Mountain-Pass Theorem
interpolation inequality.
Online Access:http://ejde.math.txstate.edu/Volumes/2005/29/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2005/29/abstr.html

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