${C^{1, 1}}$ REGULARITY FOR SOLUTIONS TO THE DEGENERATE DUAL ORLICZ-MINKOWSKI PROBLEM

doi:10.1007/s10473-025-0203-x

摘要/Abstract

摘要： In this paper, $C^{1, 1}$ regularity for solutions to the degenerate dual Orlicz-Minkowski problem is considered. The dual Orlicz-Minkowski problem is a generalization of the $L_p$ dual Minkowski problem in convex geometry. The proof is adapted from Guan-Li [17] and Chen-Tu-Wu-Xiang [11].

关键词: $C^{1,1}$ regularity, Monge-Ampère type equation, dual Orlicz-Minkowski problem

Abstract: In this paper, $C^{1, 1}$ regularity for solutions to the degenerate dual Orlicz-Minkowski problem is considered. The dual Orlicz-Minkowski problem is a generalization of the $L_p$ dual Minkowski problem in convex geometry. The proof is adapted from Guan-Li [17] and Chen-Tu-Wu-Xiang [11].

Key words: $C^{1,1}$ regularity, Monge-Ampère type equation, dual Orlicz-Minkowski problem

中图分类号:

35J70

Di Wu. ${C^{1, 1}}$ REGULARITY FOR SOLUTIONS TO THE DEGENERATE DUAL ORLICZ-MINKOWSKI PROBLEM[J]. 数学物理学报(英文版), 2025, 45(2): 327-337.

Di Wu. ${C^{1, 1}}$ REGULARITY FOR SOLUTIONS TO THE DEGENERATE DUAL ORLICZ-MINKOWSKI PROBLEM[J]. Acta mathematica scientia,Series B, 2025, 45(2): 327-337.

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