Electron. J. Diff. Eqns., Vol. 2008(2008), No. 101, pp. 1-7.

Infinitely many solutions for the p-Laplace equations with nonsymmetric perturbations

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.

Show me the PDF file (210 KB), TEX file, and other files for this article.

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

Return to the EJDE web page