Regularity of free boundary for the Monge-Ampère obstacle problem

DOI10.1215/00127094-2023-0058MaRDI QIDQ6620660

Could not fetch data.

Publication date: 17 October 2024

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Monge-Ampère equationfree boundaryregularity estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Monge-Ampère equations (35J96)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Schauder estimates for degenerate Monge-Ampère equations and smoothness of the eigenfunctions
• Interior a priori estimates for solutions of fully nonlinear equations
• Isolated singularities of graphs in warped products and Monge-Ampère equations
• Solutions of some Monge-Ampère equations with isolated and line singularities
• A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
• Free boundaries in optimal transport and Monge-Ampère obstacle problems
• The regularity of free boundaries in higher dimensions
• Boundary-degenerate elliptic operators and Hölder continuity for solutions to variational equations and inequalities
• Worn stones with flat sides all time regularity of the interface
• The obstacle problem for the Monge-Ampère equation with the lower obstacle
• On the fine regularity of the singular set in the nonlinear obstacle problem
• Obstacle problems for integro-differential operators: regularity of solutions and free boundaries
• Optimal boundary regularity for nonlinear singular elliptic equations
• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
• The obstacle problem for Monge-Ampère equation
• Harmonische Abbildungen und die Differentialgleichung \(rt-s^2=1\)
• Regularity of the singular set in the fully nonlinear obstacle problem
• THE OBSTACLE PROBLEM FOR MONGE-AMPÉRE EQUATION
• L p and Hölder Estimates for a Class of Degenerate Elliptic Partial Differential Equations and its Applications
• Convergent Finite Difference Solvers for Viscosity Solutions of the Elliptic Monge–Ampère Equation in Dimensions Two and Higher
• An obstacle problem for the monge-ampère equation
• On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
• A Classification of Isolated Singularities of Elliptic Monge‐Ampére Equations in Dimension Two
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• Regularity of the free boundary for the porous medium equation
• The free boundary in the Gauss Curvature Flow with flat sides
• The Schauder approach to degenerate elliptic equations with homogeneous Neumann boundary condition I
• Compactness of Alexandrov‐Nirenberg Surfaces
• An Extension Problem Related to the Fractional Laplacian
• The Schauder approach to degenerate elliptic equations with homogeneous Neumann boundary condition II

This page was built for publication: Regularity of free boundary for the Monge-Ampère obstacle problem

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6620660)