Minimal periodic solutions of first-order convex Hamiltonian systems with anisotropic growth

被引：5

作者：

Liu, Chungen ^{[1
]}

Zuo, Li ^{[2
]}

Zhang, Xiaofei ^{[2
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[2] Nankai Univ, Sch Math, Tianjin 300071, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2018年 / 13卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Hamiltonian system; minimal period; Fenchel's transform; sub-differential; BRAKE ORBITS;

D O I：

10.1007/s11464-018-0721-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on the work of Clarke and Ekeland and using duality variational principle, we confirm the existence of minimal periodic solutions of some convex Hamiltonian systems with anisotropic growth.

引用

页码：1063 / 1073

页数：11

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