曲阜师范大学学报（自然科学版）2025，Vol.51Issue(2)：59-65,7.DOI:10.3969/j.issn.1001-5337.2025.2.059
具有不定位势的薛定谔-泊松系统多重解的存在性
Existence of multiple solutions of Schrödinger-Poisson system with indefinite potential
摘要
Abstract
In this paper,the existence of infinitely many nontrivial solutions for the following nonlinear Schrödinger-Poisson system {-Δu+V(x)u+φu=f(x,u),x ∈ R3,-Δφ=u2,x∈R3 is studied,where the potential V(x)is allowed to be sign-changing.Under some suitable assumptions onf,the existence of infinitely many solutions via the symmetric mountain pass theorem is eslablished.关键词
薛定谔-泊松系统/(C)c条件/对称山路定理Key words
Schrödinger-Poisson system/(C)c-condition/symmetric mountain pass theorem分类
数学引用本文复制引用
肖琳炼,袁家倩,周鉴..具有不定位势的薛定谔-泊松系统多重解的存在性[J].曲阜师范大学学报（自然科学版）,2025,51(2):59-65,7.基金项目
国家自然科学基金(12161019) （12161019）
贵州师范大学博士科研基金(GZUNUD[2019]14). （GZUNUD[2019]14）
