The chord Gauss curvature flow and its L_p chord Minkowski problem

2023/04/30 by Hu, Jinrong, Huang, Yong, Lu, Jian +1 · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.00453

Abstract

In this paper, the L_p chord Minkowski problem is concerned. Based on the results showed in \citeHJ23, we obtain a new existence result of solutions to this problem in terms of smooth measures by using a nonlocal Gauss curvature flow for p>-n with p≠ 0.

Cited by

• Anisotropic fractional area measures
• The L_p chord Minkowski problem for super-critical exponent
• On The Minkowski Problem With Respect To A Mixed Euclidean-Gaussian Density

Related

• Gauss curvature flow to the L_p-Gaussian chord Minkowski problem
• Flow by Gauss Curvature to the orlicz Chord Minkowski Problem
• The L_p chord Minkowski problem for super-critical exponent
• Flow by Gauss curvature to the Minkowski problem of p-harmonic measure
• Flow by Gauss curvature to the L_p-Gaussian Minkowski problem