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Regularizing Effect in Singular Semilinear Problems

dc.contributor.authorCarmona Tapia, José
dc.contributor.authorMartínez Aparicio, Antonio Jesús
dc.contributor.authorMartínez Aparicio, Pedro J.
dc.contributor.authorMartínez-Teruel, Miguel
dc.date.accessioned2023-11-13T13:19:36Z
dc.date.available2023-11-13T13:19:36Z
dc.date.issued2023
dc.identifier.citationCarmona, 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. [https://doi.org/10.3846/mma.2023.18616]es_ES
dc.identifier.urihttps://hdl.handle.net/10481/85635
dc.descriptionResearch supported by (MCIU) Ministerio de Ciencia, Innovación y Universidades, Agencia Estatal de Investigación (AEI) and Fondo Europeo de Desarrollo Regional under Research Project PID2021-122122NB-I00 (FEDER). First, second and third author supported by Junta de Andalucía, Consejería de Transformación Económica, Industria, Conocimiento y Universidades-Unión Europea grant P18-FR-667. First and second author supported by Junta de Andalucía FQM-194 and first author also by CDTIME. Third and fourth author supported by Junta de Andalucía FQM-116 and by Junta de Andalucía, Consejería de Transformación Económica, Industria, Conocimiento y Universidades grant UAL2020-FQM-B2046. Second and fourth author also supported by Ministerio de Universidades (grants FPU21/04849 and FPU21/ 05578 respectively).es_ES
dc.description.abstractWe analyze how different relations in the lower order terms lead to the same regularizing effect on singular problems whose model is-triangle u+ g(x, u) = f (x)/u(gamma) in Omega, u = 0 on partial derivative Omega, where Omega is a bounded open set of R-N, gamma > 0, f (x) is a nonnegative function in L-1(Omega) and g(x, s) is a Caratheodory function. In a framework where no H-0(1) (Omega) 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.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades, Agencia Estatal de Investigación PID2021-122122NB-I00 (FEDER)es_ES
dc.description.sponsorshipJunta de Andalucíaes_ES
dc.description.sponsorshipUnión Europea P18-FR-667es_ES
dc.description.sponsorshipJunta de Andalucía FQM-194, FQM-116, UAL2020-FQM-B2046es_ES
dc.description.sponsorshipCDTIMEes_ES
dc.description.sponsorshipMinisterio de Universidades FPU21/04849, FPU21/05578es_ES
dc.language.isoenges_ES
dc.publisherVilnius Gediminas Technical University, Lithuaniaes_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectNonlinear elliptic equationses_ES
dc.subjectSingular problemes_ES
dc.subjectRegularizing effectes_ES
dc.titleRegularizing Effect in Singular Semilinear Problemses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.identifier.doi10.3846/mma.2023.18616
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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