临界非线性椭圆系统的正解(英文)  

Positive Solutions for a Nonlinear Elliptic System with Critical Growth

作　　者：许娜[1] 

机构地区：[1]南开大学数学科学学院,天津300071

出　　处：《应用数学》2015年第1期191-199,共9页Mathematica Applicata

摘　　要：本文我们借助全空间中无穷远处的方程组,结临界非线性椭圆系统建立一个整体紧性定理.利用此抽象结果及熟知的山路定理证明该系统的正解存在性.In this paper we establish a global compactness theorem for a nonlinear elliptic system with critical growth using the problems at infinity. The abstract result will be used to study the ex- istence of positive solutions for the system combined with the well known mountain pass theorem.

关 键 词：正解 临界SOBOLEV指标 非线性系统 

分 类 号：O175[理学—数学]