Existence of strictly positive solutions for sublinear elliptic problems in bounded domains

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Let Ω be a smooth bounded domain in RN and let m be a possibly discontinuous and unbounded function that changes sign in Ω. Let f : [0,∞) → [0,∞) be a nondecreasing continuous function such that k1 ξp ≤ f (ξ) ≤ k2 ξp for all ξ ≥ 0 and some k1 ,k2 > 0 and p ∈ (0,1). We study existence and nonex...

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Autores principales: Godoy, Tomás Fernando, Kaufmann, Uriel
Formato: article
Lenguaje:Inglés
Publicado: 2021
Materias:
Elliptic problems
Indefinite nonlinearities
Sub and supersolutions
Positive solutions
Acceso en línea:http://hdl.handle.net/11086/20549
https://doi.org/10.1515/ans-2014-0207
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-20549
record_format dspace
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Elliptic problems
Indefinite nonlinearities
Sub and supersolutions
Positive solutions
spellingShingle Elliptic problems
Indefinite nonlinearities
Sub and supersolutions
Positive solutions
Godoy, Tomás Fernando
Kaufmann, Uriel
Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
topic_facet Elliptic problems
Indefinite nonlinearities
Sub and supersolutions
Positive solutions
description Let Ω be a smooth bounded domain in RN and let m be a possibly discontinuous and unbounded function that changes sign in Ω. Let f : [0,∞) → [0,∞) be a nondecreasing continuous function such that k1 ξp ≤ f (ξ) ≤ k2 ξp for all ξ ≥ 0 and some k1 ,k2 > 0 and p ∈ (0,1). We study existence and nonexistence of strictly positive solutions for nonlinear elliptic problems of the form −∆u = m (x) f (u) in Ω, u = 0 on ∂Ω.
format article
author Godoy, Tomás Fernando
Kaufmann, Uriel
author_facet Godoy, Tomás Fernando
Kaufmann, Uriel
author_sort Godoy, Tomás Fernando
title Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
title_short Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
title_full Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
title_fullStr Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
title_full_unstemmed Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
title_sort existence of strictly positive solutions for sublinear elliptic problems in bounded domains
publishDate 2021
url http://hdl.handle.net/11086/20549
https://doi.org/10.1515/ans-2014-0207
work_keys_str_mv AT godoytomasfernando existenceofstrictlypositivesolutionsforsublinearellipticproblemsinboundeddomains
AT kaufmannuriel existenceofstrictlypositivesolutionsforsublinearellipticproblemsinboundeddomains
bdutipo_str Repositorios
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