江汉大学学报：自然科学版2012，Vol.40Issue(3)：12-14,3.
一类临界指数增长的椭圆型方程组正解的存在性
The Existence of Positive Solution to an Elliptic System Involving Sobolev Critical Exponent
万优艳1
作者信息
- 1. 江汉大学数学与计算机科学学院,湖北武汉430056
- 折叠
摘要
Abstract
This paper studies an elliptic system involving Sobolev critical exponent. By the variational methods, we can obtain the existence of local minimum point of the energy functional related to the system which is near zero, and the local minimum point is the positive solution to this system. Moreover, It is also proved that this positive solution tends to zero when the perturbed term goes to zero.关键词
临界指数/椭圆型方程组：正解Key words
critical exponent/elliptic system/positive solution分类
数理科学引用本文复制引用
万优艳..一类临界指数增长的椭圆型方程组正解的存在性[J].江汉大学学报：自然科学版,2012,40(3):12-14,3.
