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Proceedings of the American Mathematical Society

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Starshapedness of level sets for the obstacle problem and for the capacitory potential problem


Author: Bernhard Kawohl
Journal: Proc. Amer. Math. Soc. 89 (1983), 637-640
MSC: Primary 35J85; Secondary 31B20, 35B50, 35R35, 49A29
MathSciNet review: 718988
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Abstract: If the geometry of the data in the obstacle problem and the capacitory potential problem is starshaped then so are the solutions. The proofs are based on appropriate maximum principles.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0718988-8
Article copyright: © Copyright 1983 American Mathematical Society