Singular Abreu Equations and Minimizers of Convex Functionals with a Convexity Constraint

DOI10.1002/cpa.21883zbMath1455.90128arXiv1811.02355OpenAlexW2900311345WikidataQ126471386 ScholiaQ126471386MaRDI QIDQ5134216

Nam Q. Le

Publication date: 13 November 2020

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02355

zbMATH Keywords

convex optimizationconvexity constraintsminimizers of convex functionalssingular Abreu equations

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)

Related Items (6)

Solvability of a class of singular fourth order equations of Monge-Ampère type ⋮ Interior estimates for the Monge-Ampère type fourth order equations ⋮ Twisted Harnack inequality and approximation of variational problems with a convexity constraint by singular Abreu equations ⋮ On approximating minimizers of convex functionals with a convexity constraint by singular Abreu equations without uniform convexity ⋮ Global Hölder estimates for 2D linearized Monge-Ampère equations with right-hand side in divergence form ⋮ On singular Abreu equations in higher dimensions

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