云南民族大学学报(自然科学版)2019,Vol.28Issue(1):46-53,8.DOI:10.3969/j.issn.1672-8513.2019.01.010
一类半线性椭圆型方程组正解的存在性
Existence of positive solutions for a class of semilinear elliptic systems
摘要
Abstract
This paper mainly studies the existence of positive solutions for a class of semilinear elliptic systems. By using the variational method, the problem of solving elliptic equations is transformed into the critical point problem of the corresponding energy functional, and the existence of the critical point of the energy functional of the equations is further proved.关键词
变分法/Nehari流形/上下解方法/正解Key words
variational method/Nehari manifold/upper and lower solution method/positive solution分类
数理科学引用本文复制引用
郭伟香,杨燕君,张亚静..一类半线性椭圆型方程组正解的存在性[J].云南民族大学学报(自然科学版),2019,28(1):46-53,8.基金项目
国家自然科学基金(61374089,11871315) (61374089,11871315)