Research Article
College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
Boundary Value Problems 2009, 2009:156063 doi:10.1155/2009/156063
The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2009/1/156063
| Received: | 14 January 2009 |
| Accepted: | 6 September 2009 |
| Published: | 27 September 2009 |
© 2009 The Author(s).
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.
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