Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance

被引：18
作者：
Chen, Jianyi [1 ]
Zhang, Zhitao [2 ]
机构：
[1] Qingdao Agr Univ, Sci & Informat Coll, Qingdao 266109, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Nonlinear wave equation; Periodic solutions; Minimax principle; FORCED VIBRATIONS; BALL;
D O I：
10.1016/j.jde.2015.12.026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the periodic-Dirichlet problem for a forced nonlinear wave equation with resonance u(tt) - Delta u = mu u + a(t, x)vertical bar u vertical bar(p-1)u in a n-dimensional ball, Under some suitable assumptions on mu, p and a (t, x), we prove the existence of infinitely many radially symmetric time-periodic solutions for the problem by variational methods. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：6017 / 6037
页数：21
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