摘要
研究如下Klein-Gordon-Maxwell系统{−Δu+V(x)u−(2ω+ϕ)ϕu=f(x,u)+K(x)|u|^(s−2)u,Δϕ=(ω+ϕ)u^(2),x∈R^(3),x∈R^(3),其中ω>0是一个常数,1<s<2.当f仅在原点附近满足局部条件时,利用变分法和Moser迭代证明了系统解的存在性和多重性.完善了此系统解研究的已有结果.
This article concerns the following Klein-Gordon-Maxwell system{−Δu+V(x)u−(2ω+ϕ)ϕu=f(x,u)+K(x)|u|^(s−2)u,Δϕ=(ω+ϕ)u^(2),x∈R^(3),x∈R^(3),whereω>0 is a constant.When f satisfies local condition just in a neighborhood of the origin,existence and multiplicity of nontrivial solutions can be proved via variational methods and Moser iteration.Our result completes some recent works concerning research on solutions of this system.
作者
段誉
孙歆
Yu Duan;Xin Sun(College of Science,Guizhou University of Engineering Science,Guizhou Bijie 551700)
出处
《数学物理学报(A辑)》
北大核心
2025年第3期756-766,共11页
Acta Mathematica Scientia
基金
毕节市科学技术项目([2023]28,[2023]52)。
