dc.creator | García Melián, Jorge José | es |
dc.creator | Morales Rodrigo, Cristian | es |
dc.creator | Rossi Pérez, Julio Daniel | es |
dc.creator | Suárez Fernández, Antonio | es |
dc.date.accessioned | 2016-04-19T08:16:07Z | |
dc.date.available | 2016-04-19T08:16:07Z | |
dc.date.issued | 2008-07 | |
dc.identifier.citation | García Melián, J.J., Morales Rodrigo, C., Rossi Pérez, J.D. y Suárez Fernández, A. (2008). Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary. | |
dc.identifier.issn | 0373-3114 | es |
dc.identifier.issn | 1618-1891 | es |
dc.identifier.uri | http://hdl.handle.net/11441/40064 | |
dc.description.abstract | In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stability of nonnegative solutions to the semilinear elliptic equation −∆u = λu − u p in Ω, with the nonlinear boundary condition ∂u/∂ν = u r on ∂Ω. Here Ω is a smooth bounded domain of IRd with outward unit normal ν, λ is a real parameter and p, r > 0. We also give the precise behavior of solutions for large |λ| in the cases where they exist. The proofs are mainly based on bifurcation techniques, sub-supersolutions and variational methods. | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | null | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Elliptic equations | es |
dc.subject | Nonlinear boundary conditions | es |
dc.title | Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | MTM2005-06480 | es |
dc.relation.projectID | BFM2003-06446 | es |
dc.relation.projectID | MTM2006-07932 | es |
dc.relation.projectID | ANPCyT PICT | es |
dc.relation.publisherversion | http://dx.doi.org/10.1007/s10231-007-0052-3 | es |
dc.identifier.doi | 10.1007/s10231-007-0052-3 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/40064 | |
dc.contributor.funder | Ministerio de Ciencia y Tecnología (MCYT). España | |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | |