Disheng Liu, Di Geng
Abstract:
In this article, we study Dirichlet problems involving the p-Laplacian
with a nonsymmetric term. By using the large Morse index of the
corresponding Laplace equation, we establish an estimate on the
growth of the min-max values for a functional associated with
the problem. The estimate is better than the given result in some range.
We show that the problem possesses infinitely many weak solutions.
Submitted February 28, 2008. Published July 30, 2008.
Math Subject Classifications: 35J70, 35D50.
Key Words: p-Laplacian; large Morse index; nonsymmetric
perturbation; infinitely many solutions.
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Disheng Liu School of Mathematical Sciences South China Normal University Guangzhou 510631, China eamil: dison_lau@yahoo.cn | |
Di Geng School of Mathematical Sciences South China Normal University Guangzhou 510631, China eamil: gengdi@scnu.edu.cn |
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