@article{b274129b6e4643bfb22506037645fb14,
title = "The Lp-Minkowski problem for −n < p < 1",
abstract = "Chou and Wang's existence result for the Lp-Minkowski problem on Sn−1 for p∈(−n,1) and an absolutely continuous measure is discussed and extended to more general measures. In particular, we provide an almost optimal sufficient condition for the case p∈(0,1).",
keywords = "L Minkowski problem, Monge–Amp{\`e}re equation",
author = "Gabriele Bianchi and B{\"o}r{\"o}czky, {K{\'a}roly J.} and Andrea Colesanti and Deane Yang",
note = "Funding Information: First and third authors are supported in part by the Gruppo Nazionale per l'Analisi Matematica, la Probabilit{\`a} e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM). Second author is supported in part by NKFIH grants 116451, 121649 and 129630. Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",
year = "2019",
month = jan,
day = "7",
doi = "10.1016/j.aim.2018.10.032",
language = "English (US)",
volume = "341",
pages = "493--535",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
}