一类分数阶奇异椭圆方程无穷多解的存在性  

Existence of Infinite Solutions for Fractional Singular Elliptic Equations

作　　者：吴卓伦 商彦英[1] WU Zhuolun;SHANG Yanying(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2022年第2期89-95,共7页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11971393).

摘　　要：本文研究一类带有分数阶Sobolev-Hardy临界指数的奇异椭圆方程,通过(PS)^(*)_(c)条件克服了紧性缺失,利用对偶喷泉定理证明了该方程无穷多解的存在性.In this paper,we studiedy a class of singular elliptic equations with fractional Sobolev-Hardy critical exponents.We overcome the lack of compactness by using the(PS)^(*)_(c)condition,and proved the existence of infinite solutions of the equation by using the dual fountain theorem.

关 键 词：分数阶Laplacian算子 SOBOLEV-HARDY临界指数 对偶喷泉定理 (PS)^(*)_(c)条件 奇异椭圆方程 

分 类 号：O176.3[理学—数学]