Boundary Value Problems 
Volume 2005 (2005), Issue 3, Pages 299-306
doi:10.1155/BVP.2005.299

Multiple solutions for quasilinear elliptic Neumann problems in Orlicz-Sobolev spaces

Nikolaos Halidias1 and Vy K. Le2

 1Department of Statistics and Actuarial Science, University of the Aegean, Samos Karlovassi 83200, Greece
2Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla 65401, MO, USA
Received 15 October 2004; Revised 21 January 2005

Abstract

We investigate the existence of multiple solutions to quasilinear elliptic problems containing Laplace like operators (ϕ-Laplacians). We are interested in Neumann boundary value problems and our main tool is Brézis-Nirenberg's local linking theorem.