English

Entire Monge-Amp\`ere equations and weighted Minkowski problems

Analysis of PDEs 2023-10-19 v1 Metric Geometry

Abstract

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

Keywords

Cite

@article{arxiv.2310.02787,
  title  = {Entire Monge-Amp\`ere equations and weighted Minkowski problems},
  author = {Jacopo Ulivelli},
  journal= {arXiv preprint arXiv:2310.02787},
  year   = {2023}
}
R2 v1 2026-06-28T12:40:23.645Z