Boundary Value Problems
Volume 2009 (2009), Article ID 156063, 10 pages
Research Article

On the Solvability of Superlinear and Nonhomogeneous Quasilinear Equations

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

Received 14 January 2009; Accepted 6 September 2009

Academic Editor: Michel C. Chipot

Copyright © 2009 Gao Jia et al. 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.


Using Mountain Pass Lemma, we obtain the existence of nontrivial weak solutions for a class of superlinear and nonhomogeneous quasilinear equations. The key factor in this paper is to use the new idea of near p-homogeneity in conjunction with variational techniques to obtain a new multiplicity result for a vast set of nonlinear equations, such as the mean curvature equation and so on.