Entire Monge–Ampère equations and weighted Minkowski problems

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

Authors

Jacopo Ulivelli (ORCID: https://orcid.org/0000-0002-4726-5271)

Institutions

TU Wien (AT)

Publication Details

Journal: Communications in Contemporary Mathematics
Published: 2025-05-23
DOI: https://doi.org/10.1142/s0219199725500592
Citations: 1
Primary Topic: Geometry and complex manifolds
Type: article
Field-Weighted Citation Impact: 4.09

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article

Entire Monge–Ampère equations and weighted Minkowski problems

Jacopo Ulivelli

May 23, 2025

1 citations

Communications in Contemporary Mathematics

Geometry and complex manifolds

4.09

article

Entire Monge–Ampère equations and weighted Minkowski problems

Jacopo Ulivelli

May 23, 2025article en

1 citations

Abstract

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

Communications in Contemporary MathematicsVol. 28(04)

TU Wien (AT)

Openalex Percentile: Top 9%

Geometry and complex manifolds

4.09

DOI Source OpenAlex

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Entire Monge–Ampère equations and weighted Minkowski problems — Jacopo Ulivelli · Communications in Contemporary Mathematics (2025) | TGRS Research Map | TGRS