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

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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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