The Lp-Minkowski problem for −n < p < 1

Gabriele Bianchi, Károly J. Böröczky, Andrea Colesanti, Deane Yang

Research output: Contribution to journalArticlepeer-review

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).

Original languageEnglish (US)
Pages (from-to)493-535
Number of pages43
JournalAdvances in Mathematics
Volume341
DOIs
StatePublished - Jan 7 2019

Keywords

  • L Minkowski problem
  • Monge–Ampère equation

ASJC Scopus subject areas

  • Mathematics(all)

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