Symmetry problem

Ramm, Alexander G.

dc.citation.doi	10.1090/S0002-9939-2012-11400-5	en_US
dc.citation.epage	521	en_US
dc.citation.issue	2	en_US
dc.citation.jtitle	Proceedings of the American Mathematical Society	en_US
dc.citation.spage	515	en_US
dc.citation.volume	141	en_US
dc.contributor.author	Ramm, Alexander G.
dc.contributor.authoreid	ramm	en_US
dc.date.accessioned	2013-01-16T17:32:53Z
dc.date.available	2013-01-16T17:32:53Z
dc.date.issued	2012-05-31
dc.date.published	2013	en_US
dc.description.abstract	A novel approach to an old symmetry problem is developed. A new proof is given for the following symmetry problem, studied earlier: if Δu = 1 in D ⊂ R[superscript 3], u = 0 on S, the boundary of D, and u[subscript N] = const on S, then S is a sphere. It is assumed that S is a Lipschitz surface homeomorphic to a sphere. This result has been proved in different ways by various authors. Our proof is based on a simple new idea.	en_US
dc.identifier.uri	http://hdl.handle.net/2097/15212
dc.language.iso	en_US	en_US
dc.relation.uri	http://doi.org/10.1090/S0002-9939-2012-11400-5	en_US
dc.rights	This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).	en_US
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/
dc.subject	Symmetry	en_US
dc.subject	Symmetry problems	en_US
dc.subject	Pompeiu problem	en_US
dc.title	Symmetry problem	en_US
dc.type	Article (publisher version)	en_US

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