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PERIODIC SOLUTIONS FOR A KIND OF p-LAPLACIAN HAMILTONIAN SYSTEMS

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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.

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.

참고문헌 (7)

  1. R. A. Adams, "Sobolev Space" (1975), Academic Press
  2. J. Mawhin, "Point Theory and Hamiltonian Systems" (1989), Springer-Verlag
  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" (1986), the American Mathematical Society
  4. C. L. Tang, "Periodic solutions of non-autonomous second order systems with γ-quasisubadditive potential", J. Math. Anal. Appl., 189(3), pp.671~675 (1995)
  5. C. L. Tang, "Periodic solutions for second order systems with not uniformly coercive potential", J. Math. Anal. Appl., 259(2), pp.386~397 (2001)
  6. X. P. Wu, "Periodic solutions of a class of non-autonomous second-order systems", J. Math. Anal. Appl., 236(2), pp.227~235 (1999)
  7. Y. W. Ye, "Periodic solutions for some nonautonomous second order Hamiltonian systems", J. Math. Anal. Appl., 344(1), pp.462~471 (2008)

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