The Minkowski problem in Gaussian probability space

Yong Huang, Dongmeng Xi, Yiming Zhao

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The Minkowski problem in Gaussian probability space is studied in this paper. In addition to providing an existence result on a Gaussian-volume-normalized version of this problem, the main goal of the current work is to provide uniqueness and existence results on the Gaussian Minkowski problem (with no normalization required).

Original languageEnglish (US)
Article number107769
JournalAdvances in Mathematics
Volume385
DOIs
StatePublished - Jul 16 2021
Externally publishedYes

Keywords

  • Degree theory
  • Gaussian Minkowski problem
  • Minkowski problems
  • Monge-Ampère equations

ASJC Scopus subject areas

  • Mathematics(all)

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