西北师范大学学报（自然科学版）2026，Vol.62Issue(5)：104-108,119,6.DOI:10.16783/j.cnki.nwnuz.2026.05.012
一类Schrödinger-Poisson方程组无穷多个负能量解的存在性
Existence of infinitely many negative energy solutions for a class of Schrödinger-Poisson systems
摘要
Abstract
This paper is concerned with the solutions of the following Schrödinger-Poisson equations{—Δu+V(x)u+K(x)φu=f(x,u)—h(x)|u|p-2u,x∈R3,—Δφ=K(x)u2,x∈R3,where the potential function V(x) is allowed to change sign.Under suitable assumptions,by employing the method of truncated functionals and Clark's theorem,it is proved that there exist infinitely many negative energy solutions to this system of equations.关键词
Schrödinger-Poisson方程组/截断泛函/Clark定理/负能量解Key words
Schrödinger-Poisson equation/truncated functional/Clark's theorem/solutions with negative energy分类
数理科学引用本文复制引用
封国鑫,周鉴,陈林松..一类Schrödinger-Poisson方程组无穷多个负能量解的存在性[J].西北师范大学学报（自然科学版）,2026,62(5):104-108,119,6.基金项目
贵州省基础研究计划自然科学项目(黔科合基础-ZK[2022]一般318) （黔科合基础-ZK[2022]一般318）
贵州省教育厅自然科学研究项目(黔教技[2023]011) （黔教技[2023]011）
