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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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 |
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Universidad Nacional de Córdoba |
institution_str |
I-10 |
repository_str |
R-141 |
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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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