MULTIPLICITY RESULTS OF PERIODIC SOLUTIONS FOR A COUPLED SYSTEM OF WAVE EQUATIONS

被引：5
作者：
Deng, Jiayu
Ji, Shuguan [1 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2024年 / 23卷 / 02期
关键词：
Key words and phrases. multiplicity results; wave equation; variational method; periodic solutions; GROUND-STATE SOLUTIONS; EXISTENCE;
D O I：
10.3934/cpaa.2024006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a class of wave equations with linear couplings. Such model arises when two waves propagate simultaneously. Based on variational methods and Galerkin approximation argument, we obtain some multiplicity results of periodic solutions for the problem when the linear coupling coefficient epsilon is small enough and the nonlinearities satisfy superlinear growth.
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页码：195 / 211
页数：17
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