Entire Monge-Ampère equations and weighted Minkowski problems

2023/10/04 by Jacopo Ulivelli, Ulivelli, Jacopo · 1 citation
Mathematics · #26B25 #35J96 #52A20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.2310.02787

openalex publication_date 2023/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short note, we prove the existence of solutions to a Monge-Ampère equation of entire type derived by a weighted version of the classical Minkowski problem.

Cited by

• Explicit solutions to Christoffel-Minkowski problems and Hessian equations under rotational symmetries

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