English

Minimal $P$-symmetric periodic solutions of nonlinear Hamiltonian systems

Analysis of PDEs 2016-06-15 v1

Abstract

In this paper some existence results for the minimal P-symmetric periodic solutions are proved for first order autonomous Hamiltonian systems when the Hamiltonian function is superquadratic, asymptotically linear and subquadratic. These are done by using critical points theory, Galerkin approximation procedure, Maslov PP-index theory and its iteration inequalities.

Keywords

Cite

@article{arxiv.1606.04357,
  title  = {Minimal $P$-symmetric periodic solutions of nonlinear Hamiltonian systems},
  author = {Shanshan Tang},
  journal= {arXiv preprint arXiv:1606.04357},
  year   = {2016}
}