Symmetry problem

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dc.contributor.author Ramm, Alexander G.
dc.date.accessioned 2013-01-16T17:32:53Z
dc.date.available 2013-01-16T17:32:53Z
dc.date.issued 2012-05-31
dc.identifier.uri http://hdl.handle.net/2097/15212
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.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
dc.date.published 2013 en_US
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.authoreid ramm en_US


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