@article{1bda76f8e8dd41cfaeee9b8d507ca70e,
title = "The Minkowski problem in Gaussian probability space",
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).",
keywords = "Degree theory, Gaussian Minkowski problem, Minkowski problems, Monge-Amp{\`e}re equations",
author = "Yong Huang and Dongmeng Xi and Yiming Zhao",
note = "Funding Information: Research of Huang is supported by the National Science Fund for Distinguished Young Scholars ( 11625103 ), Tian Yuan Special Foundation ( 11926317 ) and Hunan Science and Technology Planning Project ( 2019RS3016 ). Research of Xi is supported by National Natural Science Foundation of China ( 12071277 ), and STCSM program ( 20JC1412600 ). Research of Zhao is supported, in part, by U.S. National Science Foundation Grant DMS-2002778 . Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",
year = "2021",
month = jul,
day = "16",
doi = "10.1016/j.aim.2021.107769",
language = "English (US)",
volume = "385",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
}