Boundary estimates for positive solutions to second order elliptic equations

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dc.creatorSafonov, Mikhail V.
dc.date2008-10-02
dc.date2008-10-02
dc.date.accessioned2026-07-07T10:07:11Z
dc.date.available2026-07-07T10:07:11Z
dc.descriptionConsider positive solutions to second order elliptic equations with measurable coefficients in a bounded domain, which vanish on a portion of the boundary. We give simple necessary and sufficient geometric conditions on the domain, which guarantee the Hopf-Oleinik type estimates and the boundary Lipschitz estimates for solutions. These conditions are sharp even for harmonic functions.
dc.description20 pages, 23 references
dc.identifierhttps://arxiv.org/abs/0810.0522
dc.identifierhttp://arxiv.org/abs/0810.0522
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170545
dc.subjectAnalysis of PDEs
dc.subject35J15, 35J67 (Primary). 35B05 (Secondary)
dc.titleBoundary estimates for positive solutions to second order elliptic equations
dc.typetext

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