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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| Autores principales: | , |
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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 |
| Aporte de: |
| id |
I10-R141-11086-28228 |
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| record_format |
dspace |
| institution |
Universidad Nacional de Córdoba |
| institution_str |
I-10 |
| repository_str |
R-141 |
| collection |
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 |
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Repositorios |
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1764820392047804416 |