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Cross-shaped and degenerate singularities in an unstable elliptic free boundary problem
Authors:J. Andersson  G.S. Weiss
Affiliation:a Max Planck Institute for Mathematics in the Sciences, Inselstr. 22, D-04103 Leipzig, Germany
b Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8914, Japan
Abstract:We investigate singular and degenerate behavior of solutions of the unstable free boundary problem
Δu=−χ{u>0}.
Keywords:35R35   35J60   35B65
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