Some minimization problems in the class of convex functions with prescribed determinant

DOI10.2140/apde.2013.6.1025zbMath1280.49057arXiv1109.5676OpenAlexW2011391359MaRDI QIDQ394157

Nam Q. Le, Ovidiu V. Savin

Publication date: 24 January 2014

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5676

zbMATH Keywords

boundary regularityfourth-order elliptic equationconvex minimizerprescribed determinant

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Monge-Ampère equations (35J96)

Related Items (9)

Global \(W^{2,p}\) regularity on the linearized Monge-Ampère equation with \(\text{VMO}\) Type coefficients ⋮ \(W^{4, p}\) solution to the second boundary value problem of the prescribed affine mean curvature and Abreu's equations ⋮ Remarks on the Green's function of the linearized Monge-Ampère operator ⋮ Boundary regularity for solutions to the linearized Monge-Ampère equations ⋮ The Monge-Ampère equation with Guillemin boundary conditions ⋮ Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation ⋮ Interior \(C^{1,\alpha}\) regularity for the linearized Monge-Ampère equation with VMO type coefficients ⋮ Interior second derivative estimates for solutions to the linearized Monge-Ampère equation ⋮ Boundary Harnack inequality for the linearized Monge-Ampère equations and applications

This page was built for publication: Some minimization problems in the class of convex functions with prescribed determinant