Symmetry problem
| 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 |
