An optimal control formulation of the Blaschke-Lebesgue theorem

DOI10.1006/jmaa.1996.0208zbMath0857.52001OpenAlexW2074269928MaRDI QIDQ1917652

Mostafa Ghandehari

Publication date: 8 July 1996

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.0208

zbMATH Keywords

least areaoptimal control problemsupport functionReuleaux triangleBlaschke-Lebesgue theorem

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Elementary problems in Euclidean geometries (51M04) Linear optimal control problems (49N05)

Related Items (6)

A doubly monotone flow for constant width bodies in ℝ³ ⋮ A generalization of the Blaschke-Lebesgue problem to a kind of convex domains ⋮ Body of constant width with minimal area in a given annulus ⋮ On a strengthening of the Blaschke-Leichtweiss theorem ⋮ Billiards and nonholonomic distributions ⋮ A direct proof of a theorem of Blaschke and Lebesgue.

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