A note on interior W^2,1+\ε estimates for the Monge-Ampere\n equation

2012/02/24 by Guido De Philippis, Alessio Figalli, De philippis, Guido +3
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1202.5566

openalex publication_date 2012/02/24 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

By a variant of the techniques introduced by the first two authors in [DF] to\nprove that second derivatives of solutions to the Monge-Ampere equation are\nlocally in L\log L, we obtain interior W^2,1+\ε estimates.\n

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