摘要
研究了两类非线性奇异临界椭圆方程组,运用Schwartz对称化方法、集中紧性原理和山路引理,证明了全空间中的一类齐次临界椭圆方程组基态解的存在性和有界区域上的一类带有线性扰动项的临界椭圆方程组正解的存在性.
In this paper, two classes of nonlinear singular critical elliptic systems were studied. The Schwartz symmetrization, the concentration compactness principle and the Mountain Pass lemma were used to prove the existence of ground state solutions to a homogeneous critical elliptic system in the whole space and the existence of positive solutions to a critical elliptic system with linear perturbations in bounded domain.
出处
《中南民族大学学报（自然科学版）》
CAS
北大核心
2016年第4期126-131,共6页
Journal of South-Central University for Nationalities：Natural Science Edition
基金
国家自然科学基金资助项目(11601530)
关键词
奇异临界椭圆方程组
解的存在性
集中紧性原理
山路引理
singular critical elliptic system
existence of solution
concentration compactness principle
Mountain Pass lemma
