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math.APDec 1, 2018
15
citations (OpenAlex)
authors
  • Gabriele Bianchi
  • Károly J. Böröczky
  • Andrea Colesanti
institutions
  • Central European University
  • Hungarian Academy of Sciences
  • HUN-REN Alfréd Rényi Institute of Mathematics
  • University of Florence
arXiv abstractPDF
paper

The Orlicz version of the Lp​ Minkowski problem on Sn−1 for −n<p<0

arXiv:1812.05213 · doi:10.1016/j.aam.2019.101937

Abstract

An Orlicz version of the Lp​-Minkowski problem on Sn−1 is discussed corresponding to the case −n<p<0.

References in corpus (9)

  • The Logarithmic Minkowski Problem
  • Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems
  • A probabilistic approach to the geometry of the \ell_p^n-ball
  • General Lp affine isoperimetric inequalities
  • The Lp​ dual Minkowski problem for p>1 and q>0
  • The Lp​-Minkowski problem for −n<p<1
  • Smoothness in the lp​ Minkowski problem for p<1
  • The Lp Minkowski problem for polytopes for negative p
  • On the discrete functional lp​ Minkowski problem

Cited by in corpus (3)

  • Orlicz-Minkowski flows
  • A generalized Gauss curvature flow related to the Orlicz-Minkowski problem
  • On the Musielak-Orlicz-Gauss image problem
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