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Dido's problem in the plane for domains with fixed diameter

✍ Scribed by A. Montesinos Amilibia; S. Segura Gomis

Publisher
Springer
Year
1994
Tongue
English
Weight
563 KB
Volume
53
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES

A Dido problem for domains in ℝ2with a g
A Dido problem for domains in ℝ2with a given inradius
✍ A. Montesinos Amilibia; S. Segura Gomis πŸ“‚ Article πŸ“… 1990 πŸ› Springer 🌐 English βš– 386 KB

We find which are the simply connected domains in R 2 satisfying the Dido condition for a straight shoreline, with a given area A and a fixed inradius p, which minimize the length of the free boundary. There are three different cases according to the values of A and p. ## 1. GENERAL STATEMENT OF TH