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Sun, Xin; Duan, Yu; Liu, Jiu
Applied mathematics letters, November 2024, 2024-11-00, Letnik: 157Journal Article
This article concerns the following Klein–Gordon–Maxwell system −Δu+u−(2ω+ϕ)ϕu=f(x,u),inR3,Δϕ=(ω+ϕ)u2,inR3,where ω>0 is a constant. When f satisfies a weaker 1-superlinear condition, existence results for nontrivial solutions and a sequence of high energy solutions are obtained by the Mountain Pass Theorem and Symmetric Mountain Pass Theorem. Our result completes some recent works concerning research on solutions of this system.
