Local properties of the surface measure of convex bodies

zbMath1436.52002arXiv1805.11055MaRDI QIDQ5208233

Alexander Plakhov

Publication date: 15 January 2020

Full work available at URL: https://arxiv.org/abs/1805.11055

zbMATH Keywords

convex setssurface measureBlaschke additionNewton's problems of minimal resistance

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume, other geometric measure theory (28A75) Optimization of shapes other than minimal surfaces (49Q10) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (2)

On generalized Newton’s aerodynamic problem ⋮ A note on Newton's problem of minimal resistance for convex bodies

Cites Work

• The numerical solution of Newton's problem of least resistance
• On Newton's problem of minimal resistance
• Convex set symmetry measurement using Blaschke addition
• Newton's Problem of the Body of Minimal Resistance in the Class of Convex Developable Functions
• Exterior Billiards
• Minimum Problems over Sets of Concave Functions and Related Questions
• Minimizing within Convex Bodies Using a Convex Hull Method
• Newton's aerodynamic problem in media of chaotically moving particles
• A symmetry problem in the calculus of variations
• An example of non-convex minimization and an application to Newton's problem of the body of least resistance
• Existence of minimizers for Newtons's problem of the body of minimal resistance under a single impact assumption
• Newton's problem of the body of minimal resistance under a single-impact assumption
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Local properties of the surface measure of convex bodies