In this article we consider the differential inclusion
which involves the -Laplacian. By applying the nonsmooth Mountain Pass Theorem, we obtain at least one nontrivial solution; and by applying the symmetric Mountain Pass Theorem, we obtain k-pairs of nontrivial solutions in .
Submitted December 31, 2009. Published March 26, 2010.
Math Subject Classifications: 35J20, 35J70, 35R70.
Key Words: p(x)-Laplacian; nonsmooth mountain pass theorem; differential inclusion.
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| Guowei Dai |
Department of Mathematics, Northwest Normal University
Lanzhou, 730070, China
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