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A uniqueness result for a singular elliptic equation with gradient term

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dc.contributor.authorCarmona, José
dc.contributor.authorLeonori, Tommaso
dc.contributor.orcid35996792500
dc.contributor.orcid14521092300
dc.date.accessioned2024-11-22T08:44:57Z
dc.date.available2024-11-22T08:44:57Z
dc.date.issued2018-06-22
dc.description.abstractWe prove the uniqueness of a solution for a problem whose simplest model is with k ≥ 1, 0 Lz(Ω) and Ω is a bounded domain of N, N ≥ 2. So far, uniqueness results are known for k < 1, while existence holds for any k ≥ 1 and f positive in open sets compactly embedded in a neighbourhood of the boundary. We extend the uniqueness results to the k ≥ 1 case and show, with an example, that existence does not hold if f is zero near the boundary. We even deal with the uniqueness result when f is replaced by a nonlinear term λuq with 0 < q < 1 and λ > 0.en
dc.description.versionversión final
dc.identifier.citationCarmona, J., Leonori, T. ; A uniqueness result for a singular elliptic equation with gradient term (2018) Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 148 (5), pp. 983-994. http://doi.org/10.1017/S0308210518000112
dc.identifier.doihttp://doi.org/10.1017/S0308210518000112
dc.identifier.issn0308-2105, e-ISSN:1473-7124
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24476
dc.journal.issue5
dc.journal.titleProceedings of the Royal Society of Edinburgh Section A: Mathematics
dc.journal.volume148
dc.language.isoen
dc.page.final994
dc.page.initial983
dc.publisherCambridge University Press
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordscomparison principleen
dc.subject.keywordsnonlinear elliptic equationsen
dc.subject.keywordssingular natural growth gradient termsen
dc.titleA uniqueness result for a singular elliptic equation with gradient termen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
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