An interior a priori estimate for solutions to Monge-Ampère equations with right-hand side close to a positive constant
Author:
Funder
EPSRC
Publisher
Elsevier BV
Subject
Analysis,Applied Mathematics
Reference9 articles.
1. Existence of Eulerian solutions to semigeostrophic equations in physical space: the 2-dimensional periodic case;Ambrosio;Commun. Partial Differ. Equ.,2012
2. Interior W2,p estimate for solutions of the Monge-Ampère equation;Caffarelli;Ann. Math.,1990
3. A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity;Caffarelli;Ann. Math.,1990
4. Classical solutions of fully nonlinear, convex, second-order elliptic equations;Evans;Commun. Pure Appl. Math.,1982
5. Nonlinear bounds in Hölder spaces for the Monge-Ampère equation;Figalli;J. Funct. Anal.,2016
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1. Continuity Estimates for the Gradient of Solutions to the Monge-Amp\`Ere Equation with Natural Boundary Conditions;2024
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