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

Boundary Value Problems volume 2005, Article number: 872407 (2005) Cite this article

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.

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Authors and Affiliations

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

    Nikolaos Halidias

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

    Vy K Le

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  1. Nikolaos Halidias
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  2. Vy K Le
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Correspondence to Nikolaos Halidias.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Halidias, N., Le, V.K. Multiple solutions for quasilinear elliptic Neumann problems in Orlicz-Sobolev spaces. Bound Value Probl 2005, 872407 (2005). https://doi.org/10.1155/BVP.2005.299

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