Existence of strictly positive solutions for sublinear elliptic problems in bounded domains
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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Formato: | article |
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2021
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Acceso en línea: | http://hdl.handle.net/11086/20549 https://doi.org/10.1515/ans-2014-0207 |
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I10-R14111086-20549 |
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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 |
_version_ |
1764820394472112129 |