一类二阶常p-Laplace系统周期解的存在性

广西师范大学学报（自然科学版） ›› 2011, Vol. 29 ›› Issue (3): 28-32.

一类二阶常p-Laplace系统周期解的存在性

李传华¹, 冯春华²

1.广西师范大学研究生学院,广西桂林541004;
2.广西师范大学数学科学学院,广西桂林541004

收稿日期:2011-05-12 出版日期:2011-08-20 发布日期:2018-12-03
通讯作者: 冯春华(1949—),男,广西荔浦人,广西师范大学教授,博士。E-mail:chfeng@mailbox.gxnu.edu.cn
基金资助:
国家自然科学基金资助项目(10961005,11161051)

Periodic Solutions for Second-order Ordinary p-Laplacian System

LI Chuan-hua¹, FENG Chun-hua²

1.College of Graduate,Guangxi Normal University,Guilin Guangxi541004,China;
2.College of Mathematical Sciences,Guangxi Normal University,Guilin Guangxi 541004,China

Received:2011-05-12 Online:2011-08-20 Published:2018-12-03

摘要/Abstract

摘要： Hamilton系统理论是经典而又现代化的研究领域,其广泛存在于数理科学,生命科学及社会科学等各个领域,特别是经典力学和场论中很多模型都以Hamilton系统的形式出现。本文通过应用临界点理论中的极小极大方法,研究一类常p-Laplace系统非平凡周期解的存在性,所得结构推广了二阶Hamilton系统的相关结果。

关键词: 周期解, 极小极大方法, 临界点, 常p-Laplace系统

Abstract: By using minimax methods in critical point theory,a new existence theorem of periodic solutions is obtained for a second-order ordinary p-Laplacian system.The result obtained generalizes some known works inthe literature.

Key words: periodic solution, minimax methods, critical point, ordinary p-Laplacian system

中图分类号:

O189.1

李传华, 冯春华. 一类二阶常p-Laplace系统周期解的存在性[J]. 广西师范大学学报（自然科学版）, 2011, 29(3): 28-32.

LI Chuan-hua, FENG Chun-hua. Periodic Solutions for Second-order Ordinary p-Laplacian System[J]. Journal of Guangxi Normal University(Natural Science Edition), 2011, 29(3): 28-32.

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