The Lp chord Minkowski problem in a critical interval

Lujun Guo, Dongmeng Xi, Yiming Zhao

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Chord measures and Lp chord measures were recently introduced by Lutwak-Xi-Yang-Zhang by establishing a variational formula regarding a family of fundamental integral geometric invariants called chord integrals. Prescribing the Lp chord measure is known as the Lp chord Minkowski problem, which includes the Lp Minkowski problem heavily studied in the past 2 decades as special cases. In the current work, we solve the Lp chord Minkowski problem when 0 ≤ p< 1 , without symmetry assumptions.

Original languageEnglish (US)
JournalMathematische Annalen
DOIs
StateAccepted/In press - 2023

ASJC Scopus subject areas

  • General Mathematics

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