Smoothness of radial solutions to Monge-Ampere equations

2008/04/15 by Cristian Rios, Eric T. Sawyer, Rios, Cristian +2
Mathematics · #35B65 #35C15 (Secondary) #35D010 #35J70 (Primary) 35D05 #Algebraic Geometry and Number Theory #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AP #msc:35B65 #msc:35C15 #msc:35D010 #msc:35D05 #msc:35J70

paper · pdf · doi:10.48550/arxiv.0804.2497

7 pages

arxiv created 2008/04/15 · openalex publication_date 2008/04/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize when radial weak solutions to Monge-Ampere equations are smooth. This paper extends previous partial results and also covers Generalized Monge-Ampere equations and infinitely vanishing right hand side.

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