Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains

The paper is concerned with the existence and multiplicity of positive solutions of the nonhomogeneous Choquard equation over an annular type bounded domain. Precisely, we consider the following equation

Bibliographic Details
Main Authors: Goel Divya, Sreenadh Konijeti
Format: Article
Language:English
Published: De Gruyter 2019-08-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2020-0026
_version_ 1818726609266409472
author Goel Divya
Sreenadh Konijeti
author_facet Goel Divya
Sreenadh Konijeti
author_sort Goel Divya
collection DOAJ
description The paper is concerned with the existence and multiplicity of positive solutions of the nonhomogeneous Choquard equation over an annular type bounded domain. Precisely, we consider the following equation
first_indexed 2024-12-17T22:00:55Z
format Article
id doaj.art-08dc296d417a4455b85c72c32ed1fc1e
institution Directory Open Access Journal
issn 2191-950X
language English
last_indexed 2024-12-17T22:00:55Z
publishDate 2019-08-01
publisher De Gruyter
record_format Article
series Advances in Nonlinear Analysis
spelling doaj.art-08dc296d417a4455b85c72c32ed1fc1e2022-12-21T21:30:59ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2019-08-019180383510.1515/anona-2020-0026anona-2020-0026Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domainsGoel Divya0Sreenadh Konijeti1Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khaz, New Delhi-110016, IndiaDepartment of Mathematics, Indian Institute of Technology Delhi, Hauz Khaz, New Delhi-110016, IndiaThe paper is concerned with the existence and multiplicity of positive solutions of the nonhomogeneous Choquard equation over an annular type bounded domain. Precisely, we consider the following equationhttps://doi.org/10.1515/anona-2020-0026hardy-littlewood-sobolev inequalitycritical problemsnon-contractible domains35a1535j6035j20
spellingShingle Goel Divya
Sreenadh Konijeti
Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains
Advances in Nonlinear Analysis
hardy-littlewood-sobolev inequality
critical problems
non-contractible domains
35a15
35j60
35j20
title Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains
title_full Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains
title_fullStr Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains
title_full_unstemmed Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains
title_short Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains
title_sort critical growth elliptic problems involving hardy littlewood sobolev critical exponent in non contractible domains
topic hardy-littlewood-sobolev inequality
critical problems
non-contractible domains
35a15
35j60
35j20
url https://doi.org/10.1515/anona-2020-0026
work_keys_str_mv AT goeldivya criticalgrowthellipticproblemsinvolvinghardylittlewoodsobolevcriticalexponentinnoncontractibledomains
AT sreenadhkonijeti criticalgrowthellipticproblemsinvolvinghardylittlewoodsobolevcriticalexponentinnoncontractibledomains