The generalized Favard problem
type: Item
instance of: scholarly article
title: The generalized Favard problem
zbMATH Open document ID: 0879.52005
author: Anita Kripfganz
published in: Beiträge zur Algebra und Geometrie
publication date: 1995-11-29T00:00:00Z
full work available at URL: https://eudml.org/doc/233583
full work available at URL: no.2
review text: The paper deals with a geometrical optimization problem for isoperimetric plane sets contained in a circular sector. For a complete circle, this problem was solved by J. M. Favard in 1929. This geometrical optimization problem is formulated as a problem of optimal control where the control appears as a distribution. With the help of Pontryagin's maximum principle necessary optimality conditions are investigated. Finally, the generalized Favard problem is solved and it is shown that the optimal figure is an almost regular inpolyeder of a sector.
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 49Q05
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 52A10
zbMATH DE Number: 821689
zbMATH Keywords: isoperimetric problem
zbMATH Keywords: geometrical optimization problem
zbMATH Keywords: Pontryagin's maximum principle
zbMATH Keywords: generalized Favard problem
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 821689