集美大学学报（自然科学版）2023，Vol.28Issue(5)：415-420,6.DOI:10.19715/j.jmuzr.2023.05.04
一类Kirchhoff-Schrödinger-Poisson方程的非平凡解
Nontrivial Solutions to a Class of Kirchhoff-Schrödinger-Poisson Equation
摘要
Abstract
{-(a+b∫R3 |▽u| 2dx)Δu+u+λϕu = a(x)|u| p-2u,u ∈ H(R3)-Δϕ = u2,ϕ∈ D1,2(R3)was the nonautono-mous Kirchhoff-Schrödinger-Poisson equation,where a＞0,λ＞0,b≥0,4＜p＜6,a(x)∈ C(R3)and a(x)is sign changing.The existence theorem for nontrivial solution was obtained by variational method,moun-tain pass theorem and some analytical techniques under appropriate conditions for a(x).The positive solution of the problem was obtained by using strong maximum principle.关键词
非自治的Kirchhoff-Schrödinger-Poisson方程/非平凡解/变分法/山路定理/强极值原理Key words
nonautonomous Kirchhoff-Schrödinger-Poisson equation/nontrivial solutions/variational meth-od/mountain pass theorem/strong maximum principle分类
数理科学引用本文复制引用
胡仙,蓝永艺..一类Kirchhoff-Schrödinger-Poisson方程的非平凡解[J].集美大学学报（自然科学版）,2023,28(5):415-420,6.基金项目
福建省自然科学基金项目(2022J01339) （2022J01339）
集美大学国家自然科学基金培育项目(ZP2020057) （ZP2020057）
