$C^{1,1}$ regularity for solutions to the degenerate $L_p$ Dual Minkowski problem

Abstract

In this paper, we study $C^{1,1}$ regularity for solutions to the degenerate $L_p$ Dual Minkowski problem. Our proof is motivated by the idea of Guan and Li's work on $C^{1,1}$ estimates for solutions to the Aleksandrov problem.

References in corpus (3)

• The Logarithmic Minkowski Problem
• Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems
• The dual Minkowski problem for negative indices

Cited by in corpus (1)

• On the Musielak-Orlicz-Gauss image problem