Boundary Value Problems
Volume 2006 (2006), Article ID 47275, 12 pages

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

Juan Wang and Chun-Lei Tang

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

Received 16 May 2006; Revised 5 July 2006; Accepted 6 July 2006

Copyright © 2006 Juan Wang and Chun-Lei 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 p-Laplacian equations: Δpu=f(x,u). In this paper, we suppose neither f satisfies the superquadratic condition in Ambrosetti-Rabinowitz sense nor f(x,t)/|t|p1 is nondecreasing with respect to |t|.