KTH Royal Institute of Technology

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20022008

most citedVirus shapes and buckling transitions in spherical shells

445 citations

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math.AP2005★ 1 cited

The Two-Phase Membrane Problem -- an Intersection-Comparison Approach to the Regularity at Branch Points

Henrik Shahgholian, Georg S. Weiss

For the two-phase membrane problem $Δ u = \frac{λ _{+}}{2} χ_{{u > 0}} - \frac{λ _{-}}{2} χ_{{u < 0}},$ where $λ_{+} > 0$ and $λ_{-} > 0,$ we prove in two dimensions that the free boundary is i…

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…