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Nonlinear elliptic equations with Hardy potential and lower order term with natural growth

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dc.contributor.authorLeonori, Tommaso
dc.contributor.authorMartínez-Aparicio, Pedro J.
dc.contributor.authorPrimo, Ana
dc.date.accessioned2024-11-22T08:27:49Z
dc.date.available2024-11-22T08:27:49Z
dc.date.issued2011-07
dc.description.abstractIn this work we analyze the interaction between the Hardy potential and a lower order term to obtain the existence or nonexistence of a positive solution in elliptic problems whose model is {-Δpu=g(u)| ∇u| p+λ up-1/|x|p +f,in Ω,u>0,in Ω,u=0,on ∂Ω, where ΩℝN, N≥3, is a bounded domain containing the origin, 1<p<N and Δp is the p-Laplacian. Concretely, we study under which range of values of the parameter λ>0, the behavior of the positive continuous function g at infinity provides the existence of a solution for such a problem.en
dc.description.versionversión final
dc.identifier.citationTommaso Leonori, Pedro J. Martínez-Aparicio, Ana Primo, Nonlinear elliptic equations with Hardy potential and lower order term with natural growth, Nonlinear Analysis: Theory, Methods & Applications, Volume 74, Issue 11, 2011, Pages 3556-3569, ISSN 0362-546X, https://doi.org/10.1016/j.na.2011.02.039.
dc.identifier.doihttp://doi.org/10.1016/j.na.2011.02.039
dc.identifier.issn0362-546X; e-ISSN: 1873-5215
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24474
dc.journal.issue11
dc.journal.titleNonlinear Analysis, Theory, Methods and Applications
dc.journal.volume74
dc.language.isoen
dc.page.final3569
dc.page.initial3556
dc.publisherElsevier
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.keywordsExistence and summabilityen
dc.subject.keywordshardy potentialen
dc.subject.keywordslower order termen
dc.subject.keywordsnonlinear elliptic equationsen
dc.titleNonlinear elliptic equations with Hardy potential and lower order term with natural growthen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
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