On the Hessian matrix and Minkowski addition of quasiconvex functions

DOI10.1016/j.matpur.2007.06.007zbMath1144.26017OpenAlexW1993407008MaRDI QIDQ2385801

Marco Longinetti, Paolo Salani

Publication date: 15 October 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2007.06.007

zbMATH Keywords

quasiconvex functionssupport functionMinkowski additionHessian equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Convex functions and convex programs in convex geometry (52A41) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions of several variables, generalizations (26B25)

Related Items (13)

A Bernoulli problem with non-constant gradient boundary constraint ⋮ Concavity properties for elliptic free boundary problems ⋮ On convexity of level sets of \(p\)-harmonic functions ⋮ Quermassintegrals of quasi-concave functions and generalized Prékopa-Leindler inequalities ⋮ On Space-Time Quasiconcave Solutions of the Heat Equation ⋮ The convexity and the Gaussian curvature estimates for the level sets of harmonic functions on convex rings in space forms ⋮ On isocline lines for functions and convex stratifications of two variables ⋮ Gaussian curvature estimates for the convex level sets of p-harmonic functions ⋮ Stability of isoperimetric type inequalities for some Monge-Ampère functionals ⋮ The concavity of the Gaussian curvature of the convex level sets of \(p\)-harmonic functions with respect to the height ⋮ Parabolic quasi-concavity for solutions to parabolic problems in convex rings ⋮ A quantitative constant rank theorem for quasiconcave solutions to fully nonlinear elliptic equations ⋮ Extremal functions for Morrey's inequality in convex domains

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