$$C^{1, 1}$$ 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.