Open Access

Existence and multiplicity of solutions for a class of superlinear -Laplacian equations

Boundary Value Problems20062006:47275

DOI: 10.1155/BVP/2006/47275

Received: 16 May 2006

Accepted: 6 July 2006

Published: 21 November 2006


By a variant version of mountain pass theorem, the existence and multiplicity of solutions are obtained for a class of superlinear -Laplacian equations: . In this paper, we suppose neither satisfies the superquadratic condition in Ambrosetti-Rabinowitz sense nor is nondecreasing with respect to .


Authors’ Affiliations

Department of Mathematics, School of Mathematics and Statistics, Southwest University


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© Wang and Tang 2006

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