The Lp chord Minkowski problem in a critical interval.

Autor: Guo, Lujun, Xi, Dongmeng, Zhao, Yiming
Zdroj: Mathematische Annalen; Jul2024, Vol. 389 Issue 3, p3123-3162, 40p
Abstrakt: Chord measures and L p 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 L p chord measure is known as the L p chord Minkowski problem, which includes the L p Minkowski problem heavily studied in the past 2 decades as special cases. In the current work, we solve the L p chord Minkowski problem when 0 ≤ p < 1 , without symmetry assumptions. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index