A Steiner type formula for convex functions

DOI10.1112/S0025579300012067zbMath0878.52001MaRDI QIDQ4346295

Andrea Colesanti

Publication date: 5 January 1998

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

convex functionBorel setconvex bodiesSteiner formulae

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Length, area, volume, other geometric measure theory (28A75) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (9)

Currents carried by the graphs of semi-monotone maps ⋮ Currents carried by the subgradient graphs of semi-convex functions and applications to Hessian measures ⋮ Generalized solutions of curvature equations ⋮ The analytical solution of Newton’s aerodynamic problem in the class of bodies with vertical plane of symmetry and developable side boundary ⋮ The Steiner formula for Minkowski valuations ⋮ Hessian valuations ⋮ Hessian measures in the aerodynamic Newton problem ⋮ Steiner type formulae and weighted measures of singularities for semi-convex functions ⋮ Singular sets for curvature equation of order \(k\)

Cites Work

• On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)

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