On Dirichlet problems with singular nonlinearity of indefinite sign
Let Ω be a smooth bounded domain in RN , N ≥ 1, let K, M be two nonnegative functions and let α, γ > 0. We study existence and nonexistence of positive solutions for singular problems of the form −Δu = K(x)u−α − λM (x)u−γ in Ω, u = 0 on ∂Ω, where λ > 0 is a real parameter. We mention that as a...
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Formato: | article |
Lenguaje: | Inglés |
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2022
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Acceso en línea: | http://hdl.handle.net/11086/28228 https://doi.org/10.48550/arXiv.1411.5875 |
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I10-R141-11086-28228 |
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institution |
Universidad Nacional de Córdoba |
institution_str |
I-10 |
repository_str |
R-141 |
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Repositorio Digital Universitario (UNC) |
language |
Inglés |
topic |
Singular elliptic problems Indefinite nonlinearities Positive solutions |
spellingShingle |
Singular elliptic problems Indefinite nonlinearities Positive solutions Godoy, Tomás Fernando Kaufmann, Uriel On Dirichlet problems with singular nonlinearity of indefinite sign |
topic_facet |
Singular elliptic problems Indefinite nonlinearities Positive solutions |
description |
Let Ω be a smooth bounded domain in RN , N ≥ 1, let K, M be two nonnegative functions and let α, γ > 0. We study existence and nonexistence of positive solutions for singular problems of the form −Δu = K(x)u−α − λM (x)u−γ in Ω, u = 0 on ∂Ω, where λ > 0 is a real parameter. We mention that as a particular case our results apply to problems of the form −Δu = m(x)u−γ in Ω, u = 0 on ∂Ω, where m is allowed to change sign in Ω. |
format |
article |
author |
Godoy, Tomás Fernando Kaufmann, Uriel |
author_facet |
Godoy, Tomás Fernando Kaufmann, Uriel |
author_sort |
Godoy, Tomás Fernando |
title |
On Dirichlet problems with singular nonlinearity of indefinite sign |
title_short |
On Dirichlet problems with singular nonlinearity of indefinite sign |
title_full |
On Dirichlet problems with singular nonlinearity of indefinite sign |
title_fullStr |
On Dirichlet problems with singular nonlinearity of indefinite sign |
title_full_unstemmed |
On Dirichlet problems with singular nonlinearity of indefinite sign |
title_sort |
on dirichlet problems with singular nonlinearity of indefinite sign |
publishDate |
2022 |
url |
http://hdl.handle.net/11086/28228 https://doi.org/10.48550/arXiv.1411.5875 |
work_keys_str_mv |
AT godoytomasfernando ondirichletproblemswithsingularnonlinearityofindefinitesign AT kaufmannuriel ondirichletproblemswithsingularnonlinearityofindefinitesign |
bdutipo_str |
Repositorios |
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1764820392047804416 |