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Multiplicity of Solutions for Perturbed Nonhomogeneous Neumann Problem through Orlicz-Sobolev Spaces

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  • Liu Yang

Abstract

We investigate the existence of multiple solutions for a class of nonhomogeneous Neumann problem with a perturbed term. By using variational methods and three critical point theorems of B. Ricceri, we establish some new sufficient conditions under which such a problem possesses three solutions in an appropriate Orlicz-Sobolev space.

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  • Liu Yang, 2012. "Multiplicity of Solutions for Perturbed Nonhomogeneous Neumann Problem through Orlicz-Sobolev Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, October.
    • Handle: RePEc:hin:jnlaaa:236712
    DOI: 10.1155/2012/236712
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