Acta mathematica scientia,Series B ›› 2025, Vol. 45 ›› Issue (2): 327-337.doi: 10.1007/s10473-025-0203-x

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C1,1 REGULARITY FOR SOLUTIONS TO THE DEGENERATE DUAL ORLICZ-MINKOWSKI PROBLEM

Di Wu   

  1. School of Statistics and Mathematics, Hubei University of Economics, Wuhan 430062, China
  • Received:2023-12-29 Online:2025-03-25 Published:2025-05-08
  • About author:Di Wu, E-mail: 202011104010014@stu.hubu.edu.cn

Abstract: In this paper, C1,1 regularity for solutions to the degenerate dual Orlicz-Minkowski problem is considered. The dual Orlicz-Minkowski problem is a generalization of the Lp dual Minkowski problem in convex geometry. The proof is adapted from Guan-Li [17] and Chen-Tu-Wu-Xiang [11].

Key words: C1,1 regularity, Monge-Ampère type equation, dual Orlicz-Minkowski problem

CLC Number: 

  • 35J70
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