Multiple solutions for a boundary singular semilinear equation with sublinear term involving Hardy potential and Hardy-Sobolev exponent

被引：0

作者：

Rimouche, Ali ^{[1
]}

机构：

[1] Univ Tlemcen, Fac Sci, Lab Syst Dynam & Applicat, BP 119, Tilimsen 13000, Algeria

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2023年 / 9卷 / 02期

关键词：

Semi-linear elliptic equation; Critical Hardy-Sobolev exponent; Boundary singularities; Hardy-Schrodinger operator; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; CURVATURE;

D O I：

10.1007/s41808-023-00216-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish the existence of at least two solutions to a singular elliptic equations with zero boundary data and critical Hardy-Sobolev exponent. We show that the existence of the positive solution in high dimension depends on the sign of the mean curvature of the boundary near zero and in the low dimensions its depends of sign of the mass of the domain.

引用

页码：961 / 987

页数：27

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