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

共 50 条

[31] A GROUND STATE SOLUTION FOR A NONHOMOGENEOUS ELLIPTIC KIRCHHOFF TYPE PROBLEM INVOLVING CRITICAL GROWTH AND HARDY TERM
Benmansour, Safia
Yagoub, Nadjet
Matallah, Atika
RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI, 2023, 27 (555): : 133 - 142
[32] Convergence at infinity for solutions of nonhomogeneous degenerate and singular elliptic equations in exterior domains
Bonorino, Leonardo P.
Dutra, Lucas P.
dos Santos, Filipe J.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 549 (02)
[33] Nonlinear elliptic equations with measure valued absorption potentials
Saintier, Nicolas
Veron, Laurent
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2021, 22 (01) : 351 - 397
[34] ON ELLIPTIC EQUATIONS WITH SINGULAR POTENTIALS AND NONLINEAR BOUNDARY CONDITIONS
Ferreira, Lucas C. F.
Neves, Sergio L. N.
QUARTERLY OF APPLIED MATHEMATICS, 2018, 76 (04) : 699 - 711
[35] HARDY INEQUALITIES, OBSERVABILITY, AND CONTROL FOR THE WAVE AND SCHRODINGER EQUATIONS WITH SINGULAR POTENTIALS
Vancostenoble, J.
Zuazua, E.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2009, 41 (04) : 1508 - 1532
[36] Uniqueness and asymptotic behavior of positive solution of quasilinear elliptic equations with Hardy potential
Feng, Zhaosheng
Tan, Cheng
Wei, Lei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 202
[37] Qualitative analysis of singular solutions for nonlinear elliptic equations with potentials
Chern, Jann-Long
Yanagida, Eiji
MATHEMATISCHE ANNALEN, 2021, 381 (1-2) : 853 - 874
[38] Existence and Symmetries for Elliptic Equations with Multipolar Potentials and Polyharmonic Operators
Ferreira, Lucas C. F.
Mesquita, Claudia Aline A. S.
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2013, 62 (06) : 1955 - 1982
[39] Boundary value problems with measures for elliptic equations with singular potentials
Veron, Laurent
Yarur, Cecilia
JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 262 (03) : 733 - 772
[40] Existence and asymptotic behavior for elliptic equations with singular anisotropic potentials
Ferreira, Lucas C. F.
Montenegro, Marcelo
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 250 (04) : 2045 - 2063

← 1 2 3 4 5 →