摘要
研究了一类带有不同Hardy项和线性扰动项的临界椭圆方程组,解决了由不同Hardy项带来的困难,分析了相关最佳Sobolev常数达到函数的渐近性质.首次利用变分方法成功地证明了这类奇异椭圆方程组Mountain-Pass解的存在性.
In this paper,we study a kind of critical elliptic system involving different Hardy-type terms and linear perturbation terms.We solve the difficulties brought by different Hardy-type terms and analyze the asymptotic properties of the extremals to the related best Sobolev constant.For the first time,we successfully prove the existence of Mountain-Pass solutions to this kinds of singular elliptic systems by the variational methods.
作者
康东升
高蒙
刘晓楠
曹玉平
KANG Dongsheng;GAO Meng;LIU Xiaonan;CAO Yuping(College of Mathematics and Statistics,South-Central University for Nationalities,Wuhan 430074,China;Library,South-Central University for Nationalities,Wuhan 430074,China)
出处
《中南民族大学学报（自然科学版）》
CAS
2019年第2期304-308,共5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
椭圆方程组
临界
Hardy项
山路解
elliptic system
critical
Hardy-type term
Mountain-Pass solution
