On nonhomogeneous elliptic equations with the Hardy-Leray potentials

被引：17

作者：

Chen, Huyuan ^{[1
]}

Quaas, Alexander ^{[2
]}

Zhou, Feng ^{[3
]}

机构：

[1] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Jiangxi, Peoples R China

[2] Univ Tecn Federico Santa Maria, Dept Matemat, Avda Espana 1680,Casilla V-110, Valparaiso, Chile

[3] East China Normal Univ, Sch Math Sci, Ctr Partial Differential Equat, Shanghai 200241, Peoples R China

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2021年 / 144卷 / 01期

关键词：

ISOLATED SINGULARITIES; POSITIVE SOLUTIONS; HEAT-EQUATION; KERNEL;

D O I：

10.1007/s11854-021-0182-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present some suitable distributional identities of solutions for nonhomogeneous elliptic equations involving the Hardy-Leray potentials and study qualitative properties of the solutions to the corresponding nonhomogeneous problems in this distributional sense. We address some applications on the nonexistence of some nonhomogeneous problems with the Hardy-Leray potentials and the nonexistence principle eigenvalue with some indefinite potentials.

引用

页码：305 / 334

页数：30

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