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 language | English (US) |
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Article number | 107769 |
Journal | Advances in Mathematics |
Volume | 385 |
DOIs | |
State | Published - Jul 16 2021 |
Externally published | Yes |
Keywords
- Degree theory
- Gaussian Minkowski problem
- Minkowski problems
- Monge-Ampère equations
ASJC Scopus subject areas
- General Mathematics