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Open Access Open Badges Research Article

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

Juan Wang* and Chun-Lei Tang

Author Affiliations

Department of Mathematics, School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

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Boundary Value Problems 2006, 2006:47275  doi:10.1155/BVP/2006/47275

The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2006/1/47275

Received:16 May 2006
Revisions received:5 July 2006
Accepted:6 July 2006
Published:21 November 2006

© 2006 Wang and Tang

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.

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 .


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