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The $L_p$ Chord Minkowski problem in a critical interval by Guo, Lujun; Xi, Dongmeng; Zhao, Yiming is a scholarly article available to read on EtoBox.

What is The $L_p$ Chord Minkowski problem in a critical interval about?

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 $0\leq p<1$, without symmetry assumptions.

Author

Guo, Lujun; Xi, Dongmeng; Zhao, Yiming

Published

2023

Language

EN