苏州科技大学学报(自然科学版)2026,Vol.43Issue(3):38-46,9.DOI:10.12084/j.issn.2096-3289.2026.03.004
带深井位势的薛定谔-泊松系统多峰解的存在性
Existence of multi-bump solutions for Schrödinger-Poisson system with steep potential well
摘要
Abstract
In this paper,we studied the existence of multi-bump solutions for a class of Schrödinger-Poisson system via variational method.Using the penalization and the minimax principle,we proved the existence of multi-bump so-lutions and explored the asymptotic behavior of solutions on parameters.关键词
深井位势/变分法/薛定谔-泊松系统/多峰解Key words
steep potential well/variational method/Schrödinger-Poisson system/multi-bump solution分类
数理科学引用本文复制引用
刘增,胡乐冉..带深井位势的薛定谔-泊松系统多峰解的存在性[J].苏州科技大学学报(自然科学版),2026,43(3):38-46,9.基金项目
国家自然科学基金面上项目(12171470 ()
12572003) ()