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Boundary Value Problems

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Research Article
Open Access

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

Boundary Value Problems20062006:47275

https://doi.org/10.1155/BVP/2006/47275

©  Wang and Tang 2006

Received: 16 May 2006

Accepted: 6 July 2006

Published: 21 November 2006

Abstract

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 .

Keywords

Differential EquationPartial Differential EquationOrdinary Differential EquationFunctional EquationVariant Version

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Authors’ Affiliations

(1)
Department of Mathematics, School of Mathematics and Statistics, Southwest University, Chongqing, China

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Copyright

© Wang and Tang 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.