Existence of nonnegative solutions for singular elliptic problems

Fil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina.

Detalles Bibliográficos
Autores principales: Godoy, Tomás Fernando, Guerín, Alfredo José
Otros Autores: https://orcid.org/0000-0002-8804-9137
Formato: publishedVersion article
Lenguaje:Inglés
Publicado: 2023
Materias:
Singular elliptic problem
Variational problems
Nonnegative solution
Positive solution
Sub-supersolution
Acceso en línea:https://ejde.math.txstate.edu/Volumes/2016/191/godoy.pdf
http://hdl.handle.net/11086/548455
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-548455
record_format dspace
spelling I10-R141-11086-5484552023-08-31T13:16:48Z Existence of nonnegative solutions for singular elliptic problems Godoy, Tomás Fernando Guerín, Alfredo José https://orcid.org/0000-0002-8804-9137 Singular elliptic problem Variational problems Nonnegative solution Positive solution Sub-supersolution info:eu-repo/semantics/publishedVersion Fil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Guerín, Alfredo José. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. We prove the existence of nonnegative nontrivial weak solutions to the problem −∆u = au−αχ{u>0} − bup in Ω, u = 0 on ∂Ω, where Ω is a bounded domain in Rn. A sufficient condition for the existence of a continuous and strictly positive weak solution is also given, and the uniqueness of such a solution is proved. We also prove a maximality property for solutions that are positive a.e. in Ω. http://ejde.math.txstate.edu info:eu-repo/semantics/publishedVersion Fil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Guerín, Alfredo José. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Matemática Pura 2023-08-15T12:03:13Z 2023-08-15T12:03:13Z 2016 article https://ejde.math.txstate.edu/Volumes/2016/191/godoy.pdf http://hdl.handle.net/11086/548455 eng Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ Electrónico y/o Digital ISSN 1072-6691
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Singular elliptic problem
Variational problems
Nonnegative solution
Positive solution
Sub-supersolution
spellingShingle Singular elliptic problem
Variational problems
Nonnegative solution
Positive solution
Sub-supersolution
Godoy, Tomás Fernando
Guerín, Alfredo José
Existence of nonnegative solutions for singular elliptic problems
topic_facet Singular elliptic problem
Variational problems
Nonnegative solution
Positive solution
Sub-supersolution
description Fil: Godoy, Tomás Fernando. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina.
author2 https://orcid.org/0000-0002-8804-9137
author_facet https://orcid.org/0000-0002-8804-9137
Godoy, Tomás Fernando
Guerín, Alfredo José
format publishedVersion
article
author Godoy, Tomás Fernando
Guerín, Alfredo José
author_sort Godoy, Tomás Fernando
title Existence of nonnegative solutions for singular elliptic problems
title_short Existence of nonnegative solutions for singular elliptic problems
title_full Existence of nonnegative solutions for singular elliptic problems
title_fullStr Existence of nonnegative solutions for singular elliptic problems
title_full_unstemmed Existence of nonnegative solutions for singular elliptic problems
title_sort existence of nonnegative solutions for singular elliptic problems
publishDate 2023
url https://ejde.math.txstate.edu/Volumes/2016/191/godoy.pdf
http://hdl.handle.net/11086/548455
work_keys_str_mv AT godoytomasfernando existenceofnonnegativesolutionsforsingularellipticproblems
AT guerinalfredojose existenceofnonnegativesolutionsforsingularellipticproblems
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