Positivity results for indefinite sublinear elliptic problems via a continuity argument

Artículo finalmente publicado en: Kaufmann, U., Ramos Quoirin, H. y Umezu, K. (2017). Positivity results for indefinite sublinear elliptic problems via a continuity argument. Journal of Differential Equations, 263 (8), 4481-4502. https://doi.org/10.1016/j.jde.2017.05.021

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Detalles Bibliográficos
Autores principales: Kaufmann, Uriel, Ramos Quoirin, Humberto, Umezu, Kenichiro
Otros Autores: https://orcid.org/0000-0001-6252-2515
Formato: submittedVersion article
Lenguaje:Inglés
Publicado: 2024
Materias:
Elliptic problem
Indefinite
Sublinear
Positive solution
Acceso en línea:http://hdl.handle.net/11086/551787
https://doi.org/10.48550/arXiv.1610.07872
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-551787
record_format dspace
spelling I10-R141-11086-5517872024-05-08T13:12:54Z Positivity results for indefinite sublinear elliptic problems via a continuity argument Kaufmann, Uriel Ramos Quoirin, Humberto Umezu, Kenichiro https://orcid.org/0000-0001-6252-2515 Elliptic problem Indefinite Sublinear Positive solution Artículo finalmente publicado en: Kaufmann, U., Ramos Quoirin, H. y Umezu, K. (2017). Positivity results for indefinite sublinear elliptic problems via a continuity argument. Journal of Differential Equations, 263 (8), 4481-4502. https://doi.org/10.1016/j.jde.2017.05.021 info:eu-repo/semantics/submittedVersion Fil: Kaufmann, Uriel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Ramos Quoirin, Humberto. Universidad de Santiago de Chile; Chile. Fil: Umezu, Kenichiro. Ibaraki University. Faculty of Education. Department of Mathematics; Japan. We establish a positivity property for a class of semilinear elliptic problems involving indefinite sublinear nonlinearities. Namely, we show that any nontrivial nonnegative solution is positive for a class of problems the strong maximum principle does not apply to. Our approach is based on a continuity argument combined with variational techniques, the sub and supersolutions method and some a priori bounds. Both Dirichlet and Neumann homogeneous boundary conditions are considered. As a byproduct, we deduce some existence and uniqueness results. Finally, as an application, we derive some positivity results for indefinite concave-convex type problems. info:eu-repo/semantics/submittedVersion Fil: Kaufmann, Uriel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Ramos Quoirin, Humberto. Universidad de Santiago de Chile; Chile. Fil: Umezu, Kenichiro. Ibaraki University. Faculty of Education. Department of Mathematics; Japan. Matemática Pura 2024-05-08T12:55:43Z 2024-05-08T12:55:43Z 2017 article http://hdl.handle.net/11086/551787 https://doi.org/10.48550/arXiv.1610.07872 eng De la versión publicada: https://doi.org/10.1016/j.jde.2017.05.021 Atribución-NoComercial-SinDerivadas 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/deed.es Impreso; Electrónico y/o Digital e-ISSN: 1090-2732 ISSN: 0022-0396
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Elliptic problem
Indefinite
Sublinear
Positive solution
spellingShingle Elliptic problem
Indefinite
Sublinear
Positive solution
Kaufmann, Uriel
Ramos Quoirin, Humberto
Umezu, Kenichiro
Positivity results for indefinite sublinear elliptic problems via a continuity argument
topic_facet Elliptic problem
Indefinite
Sublinear
Positive solution
description Artículo finalmente publicado en: Kaufmann, U., Ramos Quoirin, H. y Umezu, K. (2017). Positivity results for indefinite sublinear elliptic problems via a continuity argument. Journal of Differential Equations, 263 (8), 4481-4502. https://doi.org/10.1016/j.jde.2017.05.021
author2 https://orcid.org/0000-0001-6252-2515
author_facet https://orcid.org/0000-0001-6252-2515
Kaufmann, Uriel
Ramos Quoirin, Humberto
Umezu, Kenichiro
format submittedVersion
article
author Kaufmann, Uriel
Ramos Quoirin, Humberto
Umezu, Kenichiro
author_sort Kaufmann, Uriel
title Positivity results for indefinite sublinear elliptic problems via a continuity argument
title_short Positivity results for indefinite sublinear elliptic problems via a continuity argument
title_full Positivity results for indefinite sublinear elliptic problems via a continuity argument
title_fullStr Positivity results for indefinite sublinear elliptic problems via a continuity argument
title_full_unstemmed Positivity results for indefinite sublinear elliptic problems via a continuity argument
title_sort positivity results for indefinite sublinear elliptic problems via a continuity argument
publishDate 2024
url http://hdl.handle.net/11086/551787
https://doi.org/10.48550/arXiv.1610.07872
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AT ramosquoirinhumberto positivityresultsforindefinitesublinearellipticproblemsviaacontinuityargument
AT umezukenichiro positivityresultsforindefinitesublinearellipticproblemsviaacontinuityargument
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