A reverse isoperimetric inequality, stability and extremal theorems for plane curves with bounded curvature

DOI10.1216/rmjm/1181072242zbMath0909.53002OpenAlexW2055479476MaRDI QIDQ1898285

Ralph Howard, Andrejs E. Treibergs

Publication date: 8 April 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072242

zbMATH Keywords

isoperimetric inequalityfilling radiusgeodesic curvaturefocal pointcut pointclosed plane curve

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

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Cites Work

• Variational methods in optimum control theory
• A proof of the regularity everywhere of the classical solution to Plateau's problem
• Regularity of minimizing surfaces of prescribed mean curvature
• On boundary branch points of minimizing surfaces
• Die erweiterten Steinerschen Formeln für ebene und sphärische Bereiche
• On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents
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