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Large solutions and gradient bounds for quasilinear elliptic equations

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dc.contributor.authorLeonori, Tommaso
dc.contributor.authorPorretta, Alessio
dc.date.accessioned2024-11-20T10:48:33Z
dc.date.available2024-11-20T10:48:33Z
dc.date.issued2015-10-09
dc.description.abstractWe consider the quasilinear degenerate elliptic equation λu - Δpu + H(x,Du)= 0 in Ω where Δp is the p-Laplace operator, p > 2, λ ≥0 and Ω is a smooth open bounded subset of ℝN (N ≥ 2). Under suitable structure conditions on the function H, we prove local and global gradient bounds for the solutions. We apply these estimates to study the solvability of the Dirichlet problem, and the existence, uniqueness and asymptotic behavior of maximal solutions blowing up at the boundary. The ergodic limit for those maximal solutions is also studied and the existence and uniqueness of a so-called additive eigenvalue is proved in this context.en
dc.description.versionversión final
dc.identifier.citationLeonori, T., & Porretta, A. (2016). Large solutions and gradient bounds for quasilinear elliptic equations. Communications in Partial Differential Equations, 41(6), 952–998. https://doi.org/10.1080/03605302.2016.1169286
dc.identifier.doihttps://doi.org/10.1080/03605302.2016.1169286
dc.identifier.issn0360-5302; eISSN:1532-4133
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24448
dc.journal.issue6
dc.journal.titleCommunications in Partial Differential Equations
dc.journal.volume41
dc.language.isoen
dc.page.final998
dc.page.initial952
dc.publisherTaylor and Francis Group
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.keywordsErgodic problemen
dc.subject.keywordsgradient estimatesen
dc.subject.keywordsP-Laplacianen
dc.subject.keywordslarge solutionsen
dc.subject.keywordssolvability of the Dirichlet problemen
dc.titleLarge solutions and gradient bounds for quasilinear elliptic equationsen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
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