Journal of Jishou University(Natural Sciences Edition)

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Existence of Homoclinic Solution for a Class of Hamilton Systems with a p-Laplace Operator

HUANG Lili,HE Xiaofei   

  1. (1.School of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China;2.Zangjiajie College,Jishou University,Zhangjiajie 427000,Hunan China)
  • Online:2018-03-25 Published:2018-04-28


By using the variational method and the critical point theory,we prove that the system:〖SX(〗d〖〗dt〖SX)〗(|〖AKu·D〗(t)|p-2〖AKu·D〗(t))+▽V(t,u(t))=f(t)
has a nontrivial homoclinic solution with more general conditions.

Key words: p-Laplace system, homoclinic solution, Mountain Pass Lemma

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