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RESEARCH PRODUCT
A Dido problem for domains in ?2 with a given inradius
S. Segura GomisA. Montesinos Amilibiasubject
DIDODiscrete mathematicsCombinatoricsDifferential geometryHyperbolic geometrySimply connected spaceBoundary (topology)Geometry and TopologyAlgebraic geometryIncircle and excircles of a triangleProjective geometryMathematicsdescription
We find which are the simply connected domains in ℝ2 satisfying the Dido condition for a straight shoreline, with a given area A and a fixed inradius ϱ, which minimize the length of the free boundary. There are three different cases according to the values of A and ϱ.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1990-05-01 | Geometriae Dedicata |