J. Andersson

activity

20042007

most citedCross-shaped and Degenerate Singularities in an Unstable Elliptic Free Boundary Problem

30 citations · 34 across the 4 of their papers we have counts for

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math.AP2005★ 30 cited

Cross-shaped and Degenerate Singularities in an Unstable Elliptic Free Boundary Problem

J. Andersson, G. S. Weiss

We investigate singular and degenerate behavior of solutions of the unstable free boundary problem $Δ u = - χ_{{u > 0}} .$ First, we construct a solution that is not of class $C^{1…

math.AP2004

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 $Δ u = λ_{+} χ_{{u > 0}} - λ_{-} χ_{{u < 0}}, λ_{\pm} > 0$ . We prove that the free bou…