Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case

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Y. Ma is supported by Key R&D plan of Jiangxi Province, No:20181ACE50029, Y. Wang is supported by NNSF of China, No:12001252 and 12071189, by the Jiangxi Provincial Natural Science Foundation, No:20202ACBL201001 and 20202BAB201005, by the Science and Technology Research Project of Jiangxi Provin...

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Detalles Bibliográficos
Autores: Ma Y., Wang Y., Ledesma C.T.
Formato: artículo
Fecha de Publicación:2021
Institución:Consejo Nacional de Ciencia Tecnología e Innovación
Repositorio:CONCYTEC-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.concytec.gob.pe:20.500.12390/3019
Enlace del recurso:https://hdl.handle.net/20.500.12390/3019
https://doi.org/10.1515/anona-2020-0129
Nivel de acceso:acceso abierto
Materia:Singularity
Decaying Solution
Lane-Emden Equation
Potential
https://purl.org/pe-repo/ocde/ford#1.01.01
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network_acronym_str CONC
network_name_str CONCYTEC-Institucional
repository_id_str 4689
dc.title.none.fl_str_mv Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
title Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
spellingShingle Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
Ma Y.
Singularity
Decaying Solution
Lane-Emden Equation
Lane-Emden Equation
Potential
Potential
https://purl.org/pe-repo/ocde/ford#1.01.01
title_short Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
title_full Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
title_fullStr Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
title_full_unstemmed Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
title_sort Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
author Ma Y.
author_facet Ma Y.
Wang Y.
Ledesma C.T.
author_role author
author2 Wang Y.
Ledesma C.T.
author2_role author
author
dc.contributor.author.fl_str_mv Ma Y.
Wang Y.
Ledesma C.T.
dc.subject.none.fl_str_mv Singularity
topic Singularity
Decaying Solution
Lane-Emden Equation
Lane-Emden Equation
Potential
Potential
https://purl.org/pe-repo/ocde/ford#1.01.01
dc.subject.es_PE.fl_str_mv Decaying Solution
Lane-Emden Equation
Lane-Emden Equation
Potential
Potential
dc.subject.ocde.none.fl_str_mv https://purl.org/pe-repo/ocde/ford#1.01.01
description Y. Ma is supported by Key R&D plan of Jiangxi Province, No:20181ACE50029, Y. Wang is supported by NNSF of China, No:12001252 and 12071189, by the Jiangxi Provincial Natural Science Foundation, No:20202ACBL201001 and 20202BAB201005, by the Science and Technology Research Project of Jiangxi Provincial Department of Education, No: 200325 and 200307, C. Torres was partially supported by CONCYTEC, Peru, 379-2019-FONDECYT “ASPECTOS CUALITATIVOS DE ECUACIONES NO-LOCALES Y APLICACIONES”
publishDate 2021
dc.date.accessioned.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.available.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.issued.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12390/3019
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1515/anona-2020-0129
dc.identifier.scopus.none.fl_str_mv 2-s2.0-85109144939
url https://hdl.handle.net/20.500.12390/3019
https://doi.org/10.1515/anona-2020-0129
identifier_str_mv 2-s2.0-85109144939
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Advances in Nonlinear Analysis
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.uri.none.fl_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.publisher.none.fl_str_mv De Gruyter Open Ltd
publisher.none.fl_str_mv De Gruyter Open Ltd
dc.source.none.fl_str_mv reponame:CONCYTEC-Institucional
instname:Consejo Nacional de Ciencia Tecnología e Innovación
instacron:CONCYTEC
instname_str Consejo Nacional de Ciencia Tecnología e Innovación
instacron_str CONCYTEC
institution CONCYTEC
reponame_str CONCYTEC-Institucional
collection CONCYTEC-Institucional
repository.name.fl_str_mv Repositorio Institucional CONCYTEC
repository.mail.fl_str_mv repositorio@concytec.gob.pe
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spelling Publicationrp08634600rp08633600rp05701600Ma Y.Wang Y.Ledesma C.T.2024-05-30T23:13:38Z2024-05-30T23:13:38Z2021https://hdl.handle.net/20.500.12390/3019https://doi.org/10.1515/anona-2020-01292-s2.0-85109144939Y. Ma is supported by Key R&D plan of Jiangxi Province, No:20181ACE50029, Y. Wang is supported by NNSF of China, No:12001252 and 12071189, by the Jiangxi Provincial Natural Science Foundation, No:20202ACBL201001 and 20202BAB201005, by the Science and Technology Research Project of Jiangxi Provincial Department of Education, No: 200325 and 200307, C. Torres was partially supported by CONCYTEC, Peru, 379-2019-FONDECYT “ASPECTOS CUALITATIVOS DE ECUACIONES NO-LOCALES Y APLICACIONES”Our purpose of this paper is to study positive solutions of Lane-Emden equation -?u=Vup in RN0 perturbed by a non-homogeneous potential V when p ? [pc,N+2N-2), where pc is the Joseph-Ludgren exponent. When p ? (NN-2,pc) the fast decaying solution could be approached by super and sub solutions, which are constructed by the stability of the k-fast decaying solution wk of -?u = up in RN \ 0 by authors in [9]. While the fast decaying solution wk is unstable for p ? (pc,N+2N-2) so these fast decaying solutions seem not able to disturbed like (0.1) by non-homogeneous potential V. A surprising observation that there exists a bounded sub solution of (0.1) from the extremal solution of -?u=uN+2N-2 in RN and then a sequence of fast decaying solutions and slow decaying solutions could be derived under appropriated restrictions for V. © 2021 Yong Ma et al., published by De Gruyter 2021.Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - ConcytecengDe Gruyter Open LtdAdvances in Nonlinear Analysisinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/SingularityDecaying Solution-1Lane-Emden Equation-1Lane-Emden Equation-1Potential-1Potential-1https://purl.org/pe-repo/ocde/ford#1.01.01-1Lane-Emden equations perturbed by nonhomogeneous potential in the super critical caseinfo:eu-repo/semantics/articlereponame:CONCYTEC-Institucionalinstname:Consejo Nacional de Ciencia Tecnología e Innovacióninstacron:CONCYTEC20.500.12390/3019oai:repositorio.concytec.gob.pe:20.500.12390/30192024-05-30 16:13:11.167https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_14cbinfo:eu-repo/semantics/closedAccessmetadata only accesshttps://repositorio.concytec.gob.peRepositorio Institucional CONCYTECrepositorio@concytec.gob.pe#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="ef08649c-11d6-4f3c-9cec-e392dd67901a"> <Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type> <Language>eng</Language> <Title>Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case</Title> <PublishedIn> <Publication> <Title>Advances in Nonlinear Analysis</Title> </Publication> </PublishedIn> <PublicationDate>2021</PublicationDate> <DOI>https://doi.org/10.1515/anona-2020-0129</DOI> <SCP-Number>2-s2.0-85109144939</SCP-Number> <Authors> <Author> <DisplayName>Ma Y.</DisplayName> <Person id="rp08634" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Wang Y.</DisplayName> <Person id="rp08633" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Ledesma C.T.</DisplayName> <Person id="rp05701" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>De Gruyter Open Ltd</DisplayName> <OrgUnit /> </Publisher> </Publishers> <License>https://creativecommons.org/licenses/by-nc-nd/4.0/</License> <Keyword>Singularity</Keyword> <Keyword>Decaying Solution</Keyword> <Keyword>Lane-Emden Equation</Keyword> <Keyword>Lane-Emden Equation</Keyword> <Keyword>Potential</Keyword> <Keyword>Potential</Keyword> <Abstract>Our purpose of this paper is to study positive solutions of Lane-Emden equation -?u=Vup in RN0 perturbed by a non-homogeneous potential V when p ? [pc,N+2N-2), where pc is the Joseph-Ludgren exponent. When p ? (NN-2,pc) the fast decaying solution could be approached by super and sub solutions, which are constructed by the stability of the k-fast decaying solution wk of -?u = up in RN \ 0 by authors in [9]. While the fast decaying solution wk is unstable for p ? (pc,N+2N-2) so these fast decaying solutions seem not able to disturbed like (0.1) by non-homogeneous potential V. A surprising observation that there exists a bounded sub solution of (0.1) from the extremal solution of -?u=uN+2N-2 in RN and then a sequence of fast decaying solutions and slow decaying solutions could be derived under appropriated restrictions for V. © 2021 Yong Ma et al., published by De Gruyter 2021.</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication> -1
score 13.476704
Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case
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