摘要
研究了一类带有多重Hardy项和多重强耦合Hardy-Sobolev临界项的椭圆方程组,运用集中紧性原理和山路定理,控制Hardy项系数和强耦合临界项指数,证明了在一定条件下方程组正解的存在性,首次把带有多重Hardy项的临界椭圆方程的相关方法应用到带有多重Hardy项和强耦合Hardy-Sobolev临界项的椭圆方程组.
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.
出处
《中南民族大学学报（自然科学版）》
CAS
北大核心
2017年第3期137-141,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)
中南民族大学研究生科研创新项目(2017sycxjj083)
