Yu Tian, Weigao Ge
In this paper, we investigate the periodic solutions of Hamiltonian system with the p-Laplacian. By using Mountain Pass Theorem the existence of at least one periodic solution is obtained, Furthermore, under suitable assumptions, we obtain the existence of infinitely many solutions via -symmetric version of the Mountain Pass Theorem.
Submitted July 16, 2006. Published October 19, 2006.
Math Subject Classifications: 34B15, 58E30.
Key Words: Hamiltonian system; p-Laplacian; Mountain Pass Theorem; Periodic solution.
Show me the PDF file (248K), TEX file, and other files for this article.
| Yu Tian |
School of Science
Beijing University of Posts and Telecommunications
Beijing 100876, China
| Weigao Ge |
Department of Applied Mathematics
Beijing Institute of Technology, Beijing 100081, China
Return to the EJDE web page