On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem

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dc.creatorAndersson, John
dc.creatorMatevosyan, Norayr
dc.creatorMikayelyan, Hayk
dc.date2004-05-28
dc.date.accessioned2026-07-07T05:08:42Z
dc.date.available2026-07-07T05:08:42Z
dc.descriptionIn this paper we consider the following two-phase obstacle-problem-like equation in the unit half-ball $Δu = λ_{+}χ_{\{u>0\}}-λ_{-}χ_{\{u<0\}}, λ_\pm>0$. We prove that the free boundary touches the fixed one in (uniformly) tangential fashion if the boundary data $f$ and its first and second derivatives vanish at the touch-point.
dc.description14 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0405562
dc.identifierhttp://arxiv.org/abs/math/0405562
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71372
dc.subjectAnalysis of PDEs
dc.subject35R35
dc.titleOn the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem
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