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

被引：0
作者：
Ali Rimouche
机构：
[1] Université de Tlemcen,Laboratoire Systèmes Dynamiques et Applications, Faculté des Sciences
来源：
Journal of Elliptic and Parabolic Equations | 2023年 / 9卷
关键词：
Semi-linear elliptic equation; Critical Hardy–Sobolev exponent; Boundary singularities; Hardy–Schrödinger operator; 35J10; 35J20; 35J25; 35J66; 35J75;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：961 / 987
页数：26
相关论文
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