Existence of nonnegative solutions for singular elliptic problems

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

Guardado en:

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
_version_	1782014068526153728

Existence of nonnegative solutions for singular elliptic problems

Ejemplares similares