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

Di Wu; Li Chen; Ni Xiang; Qiang Tu

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C^(1, 1) regularity for solutions to the degenerate L_p Dual Minkowski problem

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arxiv 2010.06372 v1 pith:U2IBMT6A submitted 2020-10-13 math.AP math.DG

C^(1, 1) regularity for solutions to the degenerate L_p Dual Minkowski problem

Li Chen , Qiang Tu , Di Wu , Ni Xiang This is my paper

classification math.AP math.DG

keywords problemsolutionsdegeneratedualminkowskiregularityaleksandrovestimates

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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.

C^(1, 1) regularity for solutions to the degenerate L_p Dual Minkowski problem

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