The $L_p$-Minkowski problem for $-n < p< 1$

Autor: Bianchi, Gabriele, Böröczky, Károly J., Colesanti, Andrea, Yang, Deane
Rok vydání: 2017
Předmět:
Zdroj: Advances in Mathematics 341 (2019), pp. 493-535
Druh dokumentu: Working Paper
DOI: 10.1016/j.aim.2018.10.032
Popis: Chou and Wang's existence result for the $L_p$-Minkowski problem on ${\mathbb S}^{n-1}$ for $p\in(-n,1)$ and an absolutely continuous measure $\mu$ is discussed and extended to more general measures. In particular, we provide an almost optimal sufficient condition for the case $p\in(0,1)$.
Databáze: arXiv