The even Orlicz Minkowski problem

Research output: Contribution to journalArticle

Abstract

The classical Minkowski problem leads to the Lp Minkowski problem and now to the Orlicz Minkowski problem. Existence is demonstrated for the even Orlicz Minkowski problem. A byproduct is a new approach to the solution of the classical Minkowski problem.

Original languageEnglish (US)
Pages (from-to)2485-2510
Number of pages26
JournalAdvances in Mathematics
Volume224
Issue number6
DOIs
StatePublished - Aug 2010

Keywords

  • Aleksandrov body
  • Minkowski problem
  • Orlicz norm
  • Petty projection inequality
  • Support function
  • Surface area

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The even Orlicz Minkowski problem. / Haberl, Christoph; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong.

In: Advances in Mathematics, Vol. 224, No. 6, 08.2010, p. 2485-2510.

Research output: Contribution to journalArticle

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