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

• Autores: John Andersson, Norayr Matevosyan, Hayk Mikayelyan
• Localización: Arkiv för matematik, ISSN 0004-2080, Vol. 44, Nº 1, 2006, págs. 1-15
• Idioma: inglés
• DOI: 10.1007/s11512-005-0005-2
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• Resumen

  • In this paper we consider the following two-phase obstacle-problem-like equation in the unit half-ball Äu=ë+÷{u>0}.ë.÷{u<0}, ë± >0.

    We prove that the free boundary touches the fixed boundary (uniformly) tangentially if the boundary data f and its first and second derivatives vanish at the touch-point.