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HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS WITH POTENTIALS CHANGING SIGN 被引量:1

HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS WITH POTENTIALS CHANGING SIGN
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摘要 In this paper, we prove the existence of nontrivial homoclinic orbits for a class of Hamiltonian systems with potential changing sign. We use Mountain Pass Lemma. In this paper, we prove the existence of nontrivial homoclinic orbits for a class of Hamiltonian systems with potential changing sign. We use Mountain Pass Lemma.
出处 《Annals of Differential Equations》 2005年第3期370-372,共3页 微分方程年刊(英文版)
基金 This work is mainly supported by National Natural Science Foundation of China (No.10371007) 15th Scientific Research Foundation of Central University for Nationalities.
关键词 homoclinic orbits Hamiltonian systems Mountain Pass Lemma homoclinic orbits, Hamiltonian systems, Mountain Pass Lemma
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  • 1Paul H. Rabinowitz,Kazunaga Tanaka.Some results on connecting orbits for a class of Hamiltonian systems[J].Mathematische Zeitschrift.1991(1)
  • 2Rabinowitz P.H.Minimax methods in critical point theory with applications to differential equations, CBMS Regional Conf.Series in Math[].Amsterdam.1986

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