Existence of Solutions for the Critical Elliptic System with Inverse Square Potentials

作     者：Zhao-xia LIU Zhao-hui LIU 

作者机构：Department of Information and Computational Science School of Sciences Minzu University of China Suncun Middle School Gaoxin District of Jinan 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2013年第29卷第2期

页      面：315-328页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China under grant Nos. 11101450 11071239 

主　　题：elliptic system variational functional Palais-Smale condition critical point 

摘      要：Let Ω∈← 0 be an open bounded domain in RN （N 〉 3） and 2＊（s） = 2（N-8） =2（N-s）N-22. We consider the following elliptic system of two equations in where A, μ 〉 0 and α, β 〉 1 satisfy α ＋ β = 2＊（s）. Using the Moser iteration, we prove the asymptotic behavior of solutions at the origin. In addition, by exploiting the Mountain-Pass theorem, we establish the existence of solutions.