中南民族大学学报(自然科学版)2016,Vol.35Issue(3):141-145,5.
全空间中带有不同 Hardy 项的临界椭圆方程组的基态解
Ground State Solution to Critical Elliptic Systems Involving Different Hardy-Type Terms in the Whole Space
摘要
Abstract
In this paper , nonlinear critical elliptic systems involving different Hardy-type terms were investigated and the minimizers to Rayleigh quotients were studied .By variational methods and analytical techniques , the existence of positive ground state solutions to the systems was verified , where the coefficients of Hardy-type terms are constants and functions respectively .关键词
椭圆方程组/基态解/变分法/Rayleigh商Key words
elliptic system/ground state solution/variational method/Rayleigh quotient分类
数理科学引用本文复制引用
康东升,段笑,龚睫茜..全空间中带有不同 Hardy 项的临界椭圆方程组的基态解[J].中南民族大学学报(自然科学版),2016,35(3):141-145,5.基金项目
国家自然科学基金资助项目 ()