具有径向位势的Klein-Gordon-Maxwell系统解的存在性和多重性
Existence and Multiplicity of Solutions for Klein-Gordon-Maxwell Systems with Radial Potentials
孙歆 1段誉1
作者信息
- 1. 贵州工程应用技术学院理学院,贵州 毕节 551700
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摘要
研究如下Klein-Gordon-Maxwell系统-Δu+V(|x|)u-(2ω+φ)φu=λQ(|x|)f(u),x ∈ R3,Δφ=(ω+φ)u2,x ∈ R3,其中ω＞0是一个常数,λ＞0,V,Q是径向函数,其在无穷远处可能是消失的或强制的.当f仅在原点附近满足局部条件时,利用变分方法证明了系统非平凡径向解的存在性和多重性,并得到系统的解关于参数λ的依赖性.完善了此系统解研究的已有结果.
Abstract
This article concerns the following Klein-Gordon-Maxwell system-Δu+V(|x|)u-(2ω+φ)φu=λQ(|x|)f(u),x ∈ R3,{ Δφ-(ω+φ)u2,x ∈ R3,where w＞0 is a constant,λ＞0,V,Q are radial functions,which can be vanishing or coercive at infinity.When f satisfies local assumptions just in a neighborhood of the origin,existence and multiplicity of nontrivial radial solutions can be proved via variational methods and the dependence on the parameter λ of the solution to the system can be obtained.Our result completes some recent works concerning research on solutions of this system.
关键词
Klein-Gordon-Maxwell系统/变分法/存在性/多重性Key words
Klein-Gordon-Maxwell system/variational methods/existence/multiplicity引用本文复制引用
出版年
2024
NETL
NSTL
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