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

John Andersson, Norayr Matevosyan, Hayk Mikayelyan

• 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.