中南民族大学学报（自然科学版）2017，Vol.36Issue(3)：137-141,5.
一类带有多重Hardy项和多重强耦合Hardy-Sobolev临界项的椭圆方程组的正解
Positive Solutions to an Elliptic System Involving Multiple Hardy-Type Terms and Multiple Strongly-Coupled Critical Hardy-Sobolev Terms
摘要
Abstract
In this paper, an elliptic system is investigated, which involves multiple Hardy-type terms and strongly-coupled critical Hardy-Sobolev terms. By the concentration compactness principle and the Mountain Pass Theorem and by controlling the coefficients of Hardy-type terms and the exponents of strongly-coupled critical terms, the existence of positive solutions to the system is verified under certain conditions, and for the first time, the related methods for the critical elliptic equation involving multiple Hardy-type terms are extended to the system of critical elliptic equations involving multiple Hardy-type terms and strongly-coupled Hardy-Sobolev critical terms.关键词
多重Hardy项/强耦合Hardy-Sobolev临界项/集中紧性原理/山路定理Key words
multiple Hardy-type terms/strongly-coupled critical Hardy-Sobolev term/concentration compactness principle/Mountain Pass theorem分类
数理科学引用本文复制引用
康东升,李静,徐良顺..一类带有多重Hardy项和多重强耦合Hardy-Sobolev临界项的椭圆方程组的正解[J].中南民族大学学报（自然科学版）,2017,36(3):137-141,5.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）
