Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers

Detalhes bibliográficos
Autor(a) principal: Boccardo, Lucio
Data de Publicação: 2021
Outros Autores: Maia, Liliane de Almeida, Pellacci, Benedetta
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UnB
Texto Completo: http://repositorio2.unb.br/jspui/handle/10482/46642
https://doi.org/10.1017/prm.2021.54
https://orcid.org/0000-0002-6163-1899
https://orcid.org/0000-0002-1254-1811
Resumo: UnB - Edital DPI/DPG n. 02/2022
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spelling Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powersSoluções positivasEquações semilinearesUnB - Edital DPI/DPG n. 02/2022We prove existence results of two solutions of the problem L(u) + um−1 = λup−1 in Ω, u > 0 in Ω, u = 0 on ∂Ω, where L(v) = −div(M(x)∇v) is a linear operator, p ∈ (2, 2∗] and λ and m sufficiently large. Then their asymptotical limit as m → +∞ is investigated showing different behaviours.Instituto de Ciências Exatas (IE)Departamento de Matemática (IE MAT)Cambridge University Pressmailto:boccardo@uniroma1.itmailto:lilimaia@unb.brmailto:benedetta.pellacci@unicampania.itIstituto Lombardo and Sapienza Università di RomaDepartamento de Matemática, Universidade de BrasíliaDipartimento di Matematica e Fisica, Università della Campania ‘Luigi Vanvitelli’Boccardo, LucioMaia, Liliane de AlmeidaPellacci, Benedetta2023-10-09T16:18:29Z2023-10-09T16:18:29Z2021-09-28info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleBOCCARDO, Lucio; MAIA, Liliane; PELLACCI, Benedetta. Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers. Proceedings of the Royal Society of Edinburgh, v. 152, n. 5. 2021. DOI https://doi.org/10.1017/prm.2021.54. Disponível em: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/abs/asymptotic-behaviour-of-positive-solutions-of-semilinear-elliptic-problems-with-increasing-powers/CEBF477D0A8AEE329C646549420DFEAD. Acesso em: 09 out. 2023.http://repositorio2.unb.br/jspui/handle/10482/46642https://doi.org/10.1017/prm.2021.54https://orcid.org/0000-0002-6163-1899https://orcid.org/0000-0002-1254-1811enghttps://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/abs/asymptotic-behaviour-of-positive-solutions-of-semilinear-elliptic-problems-with-increasing-powers/CEBF477D0A8AEE329C646549420DFEADinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UnBinstname:Universidade de Brasília (UnB)instacron:UNB2023-10-09T16:20:17Zoai:repositorio.unb.br:10482/46642Repositório InstitucionalPUBhttps://repositorio.unb.br/oai/requestrepositorio@unb.bropendoar:2023-10-09T16:20:17Repositório Institucional da UnB - Universidade de Brasília (UnB)false
dc.title.none.fl_str_mv Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers
title Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers
spellingShingle Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers
Boccardo, Lucio
Soluções positivas
Equações semilineares
title_short Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers
title_full Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers
title_fullStr Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers
title_full_unstemmed Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers
title_sort Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers
author Boccardo, Lucio
author_facet Boccardo, Lucio
Maia, Liliane de Almeida
Pellacci, Benedetta
author_role author
author2 Maia, Liliane de Almeida
Pellacci, Benedetta
author2_role author
author
dc.contributor.none.fl_str_mv mailto:boccardo@uniroma1.it
mailto:lilimaia@unb.br
mailto:benedetta.pellacci@unicampania.it
Istituto Lombardo and Sapienza Università di Roma
Departamento de Matemática, Universidade de Brasília
Dipartimento di Matematica e Fisica, Università della Campania ‘Luigi Vanvitelli’
dc.contributor.author.fl_str_mv Boccardo, Lucio
Maia, Liliane de Almeida
Pellacci, Benedetta
dc.subject.por.fl_str_mv Soluções positivas
Equações semilineares
topic Soluções positivas
Equações semilineares
description UnB - Edital DPI/DPG n. 02/2022
publishDate 2021
dc.date.none.fl_str_mv 2021-09-28
2023-10-09T16:18:29Z
2023-10-09T16:18:29Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv BOCCARDO, Lucio; MAIA, Liliane; PELLACCI, Benedetta. Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers. Proceedings of the Royal Society of Edinburgh, v. 152, n. 5. 2021. DOI https://doi.org/10.1017/prm.2021.54. Disponível em: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/abs/asymptotic-behaviour-of-positive-solutions-of-semilinear-elliptic-problems-with-increasing-powers/CEBF477D0A8AEE329C646549420DFEAD. Acesso em: 09 out. 2023.
http://repositorio2.unb.br/jspui/handle/10482/46642
https://doi.org/10.1017/prm.2021.54
https://orcid.org/0000-0002-6163-1899
https://orcid.org/0000-0002-1254-1811
identifier_str_mv BOCCARDO, Lucio; MAIA, Liliane; PELLACCI, Benedetta. Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers. Proceedings of the Royal Society of Edinburgh, v. 152, n. 5. 2021. DOI https://doi.org/10.1017/prm.2021.54. Disponível em: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/abs/asymptotic-behaviour-of-positive-solutions-of-semilinear-elliptic-problems-with-increasing-powers/CEBF477D0A8AEE329C646549420DFEAD. Acesso em: 09 out. 2023.
url http://repositorio2.unb.br/jspui/handle/10482/46642
https://doi.org/10.1017/prm.2021.54
https://orcid.org/0000-0002-6163-1899
https://orcid.org/0000-0002-1254-1811
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/abs/asymptotic-behaviour-of-positive-solutions-of-semilinear-elliptic-problems-with-increasing-powers/CEBF477D0A8AEE329C646549420DFEAD
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
dc.source.none.fl_str_mv reponame:Repositório Institucional da UnB
instname:Universidade de Brasília (UnB)
instacron:UNB
instname_str Universidade de Brasília (UnB)
instacron_str UNB
institution UNB
reponame_str Repositório Institucional da UnB
collection Repositório Institucional da UnB
repository.name.fl_str_mv Repositório Institucional da UnB - Universidade de Brasília (UnB)
repository.mail.fl_str_mv repositorio@unb.br
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