Cavity type problems ruled by infinity Laplacian operator

Detalhes bibliográficos
Autor(a) principal: Ricarte, Gleydson Chaves
Data de Publicação: 2017
Outros Autores: Silva, João Vítor, Teymurazyan, Rafayel
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/43764
https://doi.org/10.1016/j.jde.2016.10.044
Resumo: We study a singularly perturbed problem related to infinity Laplacian operator with prescribed boundary values in a region. We prove that solutions are locally (uniformly) Lipschitz continuous, they grow as a linear function, are strongly non-degenerate and have porous level surfaces. Moreover, for some restricted cases we show the finiteness of the (n - 1)-dimensional Hausdorff measure of level sets. The analysis of the asymptotic limits is carried out as well.
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spelling Cavity type problems ruled by infinity Laplacian operatorWe study a singularly perturbed problem related to infinity Laplacian operator with prescribed boundary values in a region. We prove that solutions are locally (uniformly) Lipschitz continuous, they grow as a linear function, are strongly non-degenerate and have porous level surfaces. Moreover, for some restricted cases we show the finiteness of the (n - 1)-dimensional Hausdorff measure of level sets. The analysis of the asymptotic limits is carried out as well.Elsevier2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/43764http://hdl.handle.net/10316/43764https://doi.org/10.1016/j.jde.2016.10.044eng00220396http://www.sciencedirect.com/science/article/pii/S0022039616303783?via%3DihubRicarte, Gleydson ChavesSilva, João VítorTeymurazyan, Rafayelinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-08-19T16:15:09Zoai:estudogeral.uc.pt:10316/43764Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:26.881649Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Cavity type problems ruled by infinity Laplacian operator
title Cavity type problems ruled by infinity Laplacian operator
spellingShingle Cavity type problems ruled by infinity Laplacian operator
Ricarte, Gleydson Chaves
title_short Cavity type problems ruled by infinity Laplacian operator
title_full Cavity type problems ruled by infinity Laplacian operator
title_fullStr Cavity type problems ruled by infinity Laplacian operator
title_full_unstemmed Cavity type problems ruled by infinity Laplacian operator
title_sort Cavity type problems ruled by infinity Laplacian operator
author Ricarte, Gleydson Chaves
author_facet Ricarte, Gleydson Chaves
Silva, João Vítor
Teymurazyan, Rafayel
author_role author
author2 Silva, João Vítor
Teymurazyan, Rafayel
author2_role author
author
dc.contributor.author.fl_str_mv Ricarte, Gleydson Chaves
Silva, João Vítor
Teymurazyan, Rafayel
description We study a singularly perturbed problem related to infinity Laplacian operator with prescribed boundary values in a region. We prove that solutions are locally (uniformly) Lipschitz continuous, they grow as a linear function, are strongly non-degenerate and have porous level surfaces. Moreover, for some restricted cases we show the finiteness of the (n - 1)-dimensional Hausdorff measure of level sets. The analysis of the asymptotic limits is carried out as well.
publishDate 2017
dc.date.none.fl_str_mv 2017
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 http://hdl.handle.net/10316/43764
http://hdl.handle.net/10316/43764
https://doi.org/10.1016/j.jde.2016.10.044
url http://hdl.handle.net/10316/43764
https://doi.org/10.1016/j.jde.2016.10.044
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 00220396
http://www.sciencedirect.com/science/article/pii/S0022039616303783?via%3Dihub
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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