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