JOURNAL BROWSE
Search
Advanced SearchSearch Tips
PERIODIC SOLUTIONS FOR A KIND OF p-LAPLACIAN HAMILTONIAN SYSTEMS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
PERIODIC SOLUTIONS FOR A KIND OF p-LAPLACIAN HAMILTONIAN SYSTEMS
Zhang, Li; Ge, Weigao;
  PDF(new window)
 Abstract
In this paper, the existence of periodic solutions is obtained for a kind of p-Laplacian systems by the minimax methods in critical point theory. Moreover, the existence of infinite periodic solutions is also obtained.
 Keywords
periodic solution;p-Laplacian system;PS-condition;saddle point theorem;
 Language
English
 Cited by
 References
1.
R. A. Adams, Sobolev Space, Academic Press. New York, 1975.

2.
J. Mawhin and M. Willem, Critical Point Theory and Hamiltonian Systems, Applied Mathematical Sciences, 74. Springer-Verlag, New York, 1989.

3.
P. H. Rabinowitz, Minimax Methods in Critical Point Theory with Applications to Differential Equations, CBMS Regional Conference Series in Mathematics, 65. Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1986.

4.
C. L. Tang, Periodic solutions of non-autonomous second order systems with ${\gamma}$- quasisubadditive potential, J. Math. Anal. Appl. 189 (1995), no. 3, 671–675. crossref(new window)

5.
C. L. Tang and X. P. Wu, Periodic solutions for second order systems with not uniformly coercive potential, J. Math. Anal. Appl. 259 (2001), no. 2, 386–397. crossref(new window)

6.
X. P. Wu and C. L. Tang, Periodic solutions of a class of non-autonomous second-order systems, J. Math. Anal. Appl. 236 (1999), no. 2, 227–235. crossref(new window)

7.
Y. W. Ye and C. L. Tang, Periodic solutions for some nonautonomous second order Hamiltonian systems, J. Math. Anal. Appl. 344 (2008), no. 1, 462–471. crossref(new window)