A symmetry problem
| dc.creator | Ramm, A. G. | |
| dc.date | 2004-11-08 | |
| dc.date.accessioned | 2026-07-07T05:14:05Z | |
| dc.date.available | 2026-07-07T05:14:05Z | |
| dc.description | The following result is proved: {\bf Theorem.} Let $D\subset \R^3$ be a bounded domain homeomorphic to a ball, $|D|$ be its volume, $|S|$ be the surface area of its smooth boundary $S$, $D\subset B_R:=\{x:|x|\leq R\}$, and $H_R$ is the set of all harmonic in $B_R$ functions. If $$\frac 1 {|D|}\int_Dhdx=\frac 1 {|S|}\int_Shds\quad \forall h\in H_R,$$ then $D$ is a ball. | |
| dc.identifier | https://arxiv.org/abs/math/0411175 | |
| dc.identifier | http://arxiv.org/abs/math/0411175 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73148 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35R30 | |
| dc.title | A symmetry problem | |
| dc.type | text |