Existence and multiplicity of rotating periodic solutions for resonant Hamiltonian systems

Author:

Liu Guanggang,Li Yong,Yang Xue

Funder

National Key Research and Development Program of China

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference40 articles.

1. Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations;Amann;Ann. Sc. Norm. Super. Pisa (4),1980

2. Periodic solutions of asymptotically linear Hamiltonian systems;Amann;Manuscripta Math.,1980

3. Proof of a theorem by A.N. Kolmogorov on the preservation of quasi-periodic motions under small perturbations of the Hamiltonian;Arnold;Uspekhi Mat. Nauk,1963

4. Abstract critical point theorem and applications to nonlinear problems with “strong” resonance at infinity;Bartolo;Nonlinear Anal.,1983

5. Critical point theory for asymptotically quadratic functionals and applications to problems with resonance;Bartsch;Nonlinear Anal.,1997

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