高师理科学刊2024，Vol.44Issue(12)：6-9,4.DOI:10.3969/j.issn.1007-9831.2024.12.002
一类具有变号位势的非局部问题的基态解
Ground state solution for a class of nonlocal problems with sign-changing potential
摘要
Abstract
The ground state solutions for a class of nonlocal problems with a sign-changing potential was studied by using constraint variational methods on bounded domain.The solving difficulties caused by nonlocal term and nonlinear term in the equation were overcome,and it has been proven that under certain conditions,the minimization sequence of the energy functional on the Nehari manifold is bounded and has a minimum element,this equation has at least one ground state solution.关键词
非局部问题/变号位势/约束变分法/基态解Key words
nonlocal problem/sign-changing potential/constraint variational method/ground state solutions分类
数理科学引用本文复制引用
李盼,储昌木..一类具有变号位势的非局部问题的基态解[J].高师理科学刊,2024,44(12):6-9,4.基金项目
国家自然科学基金项目(11861021) （11861021）
