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Regularizing effect in singular semilinear problems
dc.contributor.author | Carmona Tapia, José | |
dc.contributor.author | Martínez Aparicio, Antonio Jesús | |
dc.contributor.author | Martínez Aparicio, Pedro Jesús | |
dc.contributor.author | Martínez Teruel, MIguel | |
dc.date.accessioned | 2024-01-30T16:30:40Z | |
dc.date.available | 2024-01-30T16:30:40Z | |
dc.date.issued | 2023-10-20 | |
dc.identifier.citation | Carmona, J., Martínez Aparicio, A. J., Martínez-Aparicio, P. J., & Martínez-Teruel, M. (2023). Regularizing effect in singular semilinear problems. Mathematical Modelling and Analysis, 28(4), 561–580. | es_ES |
dc.identifier.issn | 1392-6292 | |
dc.identifier.uri | http://hdl.handle.net/10835/15591 | |
dc.description.abstract | We analyze how different relations in the lower order terms lead to the same regularizing effect on singular problems whose model is −∆u+g(x, u) = f(x)/uγ in Ω, u = 0 on ∂Ω, where Ω is a bounded open set of R N , γ > 0, f(x) is a nonnegative function in L 1 (Ω) and g(x, s) is a Carath´eodory function. In a framework where no H1 0 (Ω) solution is expected, we prove its existence (regularizing effect) whenever the datum f interacts conveniently either with the boundary of the domain or with the lower order term. | es_ES |
dc.language.iso | en | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | nonlinear elliptic equations | es_ES |
dc.subject | singular problem | es_ES |
dc.subject | regularizing effect | es_ES |
dc.title | Regularizing effect in singular semilinear problems | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherversion | https://doi.org/10.3846/mma.2023.18616 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.identifier.doi | 10.3846/mma.2023.18616 |