A reverse isoperimetric inequality for convex shapes with inclusion constraint

DOI10.1016/j.jmaa.2024.128636MaRDI QIDQ6612210

Beniamin Bogosel

Publication date: 30 September 2024

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

zbMATH Keywords

constrained optimizationshape optimizationreverse isoperimetric inequalities

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Optimization of shapes other than minimal surfaces (49Q10) Classical differential geometry (53Axx)

Cites Work

• Problèmes d'extremums relatifs aux courbes convexes. I.
• Shape variation and optimization. A geometrical analysis
• A reverse isoperimetric inequality, stability and extremal theorems for plane curves with bounded curvature
• A sausage body is a unique solution for a reverse isoperimetric problem
• Isoperimetric inequality for curves with curvature bounded below
• Polygons as Optimal Shapes with Convexity Constraint
• Optimal sets for a class of minimization problems with convex constraints
• Volume Ratios and a Reverse Isoperimetric Inequality
• A reverse isoperimetric inequality for planar (α, β)-convex bodies
• The Isoperimetric Problem
• Convex Bodies The Brunn-MinkowskiTheory

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