中南民族大学学报（自然科学版）2017，Vol.36Issue(2)：143-147,154,6.
一类带有负指数的临界椭圆方程组的解
Solutions to a Critical Elliptic System Involving Negative Exponents
摘要
Abstract
In this paper, a system of elliptic equations was investigated, which involves strongly-coupled critical nonlinearities and negative-exponent terms.Several constraint sets were defined, the infimums of the energy functional on the constraint sets were studied by complicated analytical techniques, and the explicit expression of a critical constant was obtained.Finally, the existence of positive solutions to the system was verified under certain conditions, and for the first time, the related conclusions for the single critical elliptic equation were extended to the system of critical elliptic equations involving negative-exponent terms.关键词
椭圆方程组/临界非线性项/负指数项/变分法Key words
elliptic system/critical nonlinearities/negative-exponent term/variational method分类
数理科学引用本文复制引用
康东升,徐良顺,曹玉平..一类带有负指数的临界椭圆方程组的解[J].中南民族大学学报（自然科学版）,2017,36(2):143-147,154,6.基金项目
国家自然科学基金资助项目(11601530) （11601530）
中南民族大学研究生科研创新项目(2017sycxjj083) （2017sycxjj083）
