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Starshapedness of level sets for the obstacle problem and for the capacitory potential problem. (English) Zbl 0556.35051

The author proves that if the geometry of the data in the so-called ’obstacle’ problem and the ’capacitory potential’ problem is starshaped, then so are the solutions. The proofs are based on appropriate maximum principles.
Reviewer: A.D.Osborne

MSC:

35J65 Nonlinear boundary value problems for linear elliptic equations
35A30 Geometric theory, characteristics, transformations in context of PDEs
35B50 Maximum principles in context of PDEs
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