Yu Tian, Weigao Ge
Abstract:
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.
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Yu Tian School of Science Beijing University of Posts and Telecommunications Beijing 100876, China email: tianyu2992@163.com |
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| Weigao Ge Department of Applied Mathematics Beijing Institute of Technology, Beijing 100081, China email: gew@bit.edu.cn |
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