Boundary Value Problems
Volume 2009 (2009), Article ID 156063, 10 pages
doi:10.1155/2009/156063
On the solvability of superlinear and nonhomogeneous quasilinear equations
Gao Jia
, Qing Zhao
and Chun-Yan Dai
College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
Abstract
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.