scholarly journals The General Dual-Polar Orlicz–Minkowski Problem

2022 ◽  
Vol 32 (3) ◽  
Author(s):  
Sudan Xing ◽  
Deping Ye ◽  
Baocheng Zhu
Keyword(s):  
Minkowski Problem ◽  
Orlicz Minkowski Problem

scholarly journals The even Orlicz Minkowski problem

2010 ◽  
Vol 224 (6) ◽  
pp. 2485-2510 ◽  
Author(s):  
Christoph Haberl ◽  
Erwin Lutwak ◽  
Deane Yang ◽  
Gaoyong Zhang
Keyword(s):  
Minkowski Problem ◽  
Orlicz Minkowski Problem

scholarly journals On the Orlicz Minkowski Problem for Polytopes

2012 ◽  
Vol 48 (2) ◽  
pp. 281-297 ◽  
Author(s):  
Qingzhong Huang ◽  
Binwu He
Keyword(s):  
Minkowski Problem ◽  
Orlicz Minkowski Problem

scholarly journals Existence of Smooth Even Solutions to the Dual Orlicz–Minkowski Problem

2022 ◽  
Vol 32 (2) ◽  
Author(s):  
Li Chen ◽  
YanNan Liu ◽  
Jian Lu ◽  
Ni Xiang
Keyword(s):  
Minkowski Problem ◽  
Orlicz Minkowski Problem

On the discrete Orlicz Minkowski problem II

2019 ◽  
Vol 205 (1) ◽  
pp. 177-190 ◽  
Author(s):  
Yuchi Wu ◽  
Dongmeng Xi ◽  
Gangsong Leng
Keyword(s):  
Minkowski Problem ◽  
Orlicz Minkowski Problem

scholarly journals The Dual Orlicz–Minkowski Problem

2018 ◽  
Vol 28 (4) ◽  
pp. 3829-3855 ◽  
Author(s):  
Baocheng Zhu ◽  
Sudan Xing ◽  
Deping Ye
Keyword(s):  
Minkowski Problem ◽  
Orlicz Minkowski Problem

scholarly journals On the discrete Orlicz Minkowski problem

2018 ◽  
Vol 371 (3) ◽  
pp. 1795-1814 ◽  
Author(s):  
Yuchi Wu ◽  
Dongmeng Xi ◽  
Gangsong Leng
Keyword(s):  
Minkowski Problem ◽  
Orlicz Minkowski Problem

scholarly journals The planar Orlicz Minkowski problem in the L1-sense

2015 ◽  
Vol 281 ◽  
pp. 1364-1383 ◽  
Author(s):  
Sun Yijing ◽  
Long Yiming
Keyword(s):  
Minkowski Problem ◽  
Orlicz Minkowski Problem

The Orlicz–Minkowski problem for measure in ℝn and Orlicz geominimal measures

2019 ◽  
Vol 30 (11) ◽  
pp. 1950052 ◽  
Author(s):  
Shuang Mou ◽  
Baocheng Zhu
Keyword(s):  
Minkowski Problem ◽  
General Measure ◽  
Positive Degree ◽  
Orlicz Minkowski Problem

For a measure [Formula: see text] on [Formula: see text] with density that has a positive degree of homogeneous and a positive degree of concavity, we study the Orlicz–Minkowski problem for such general measure [Formula: see text] and show the existence of the even Orlicz–Minkowski problem for [Formula: see text]. We also introduce the general Orlicz geominimal [Formula: see text]-measures and show the existence of the Orlicz-Petty bodies for the general measure [Formula: see text], and hence prove the continuity of the general Orlicz geominimal [Formula: see text]-measure.

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