%0 Journal Article
%T 一类与Cafiarelli-Kohn-Nirenberg不等式有关的奇异椭圆型方程组<br>ON A SINGULAR ELLIPTIC SYSTEM INVOLVING THE CAFFARELLI-KOHN-NIRENBERG INEQUALITY
%A 作者
%A 彭艳芳
%J 数学杂志
%D 2017
%X 本文研究了一类与Cafiarelli-Kohn-Nirenberg不等式有关的带临界指数的奇异椭圆型方程组.利用变分方法，证明了方程组的正解及变号解的存在性.结果部分推广了文献[19]的结果.<br>In this paper, we consider a singular elliptic system which involves critical exponent and the well-known Cafiarelli-Kohn-Nirenberg inequality. By virtue of variational methods, we establish the existence of positive solution and sign-changing solution to the system, which partially extend the results in[19]
%K 椭圆型方程组 正解 变号解 奇异性 Cafiarelli-Kohn-Nirenberg不等式&lt
%K br&gt
%K elliptic system positive solution sign-changing solution singularity CafiarelliKohn-Nirenberg inequality
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170403&flag=1