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

Nikolaos Halidias; Vy K Le

doi:10.1155/BVP.2005.299

Research Article
Open Access

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

Nikolaos Halidias¹Email author and
Vy K Le²

Boundary Value Problems20052005:872407

https://doi.org/10.1155/BVP.2005.299

Received: 15 October 2004
Published: 13 November 2005

Abstract

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

Authors’ Affiliations

(1)

Department of Statistics and Actuarial Science, University of the Aegean, Samos Karlovassi, 83200, Greece

(2)

Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, MO 65401, USA

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

Abstract

Authors’ Affiliations

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