The planar Orlicz Minkowski problem in the L1-sense

被引：26
|
作者：
Yijing, Sun [1 ]
Yiming, Long [2 ,3 ]
机构：
[1] Univ Chinese Acad Sci, Dept Math, Beijing 100049, Peoples R China
[2] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
ADVANCES IN MATHEMATICS | 2015年 / 281卷
关键词：
Minkowski problem; Negative powers; Variational method; FIREY THEORY; AFFINE; SURFACE; CLASSIFICATION; REGULARITY; CURVATURE;
D O I：
10.1016/j.aim.2015.03.032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we solve L-p Minkowski problem for L-1 data and all p < 0, and Orlicz Minkowski problem with two nonlinear terms in L-1 sense. A byproduct is the Blaschke-Santalo inequality, which was previously established for only constant data, and now is shown to hold for L-1 data. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：1364 / 1383
页数：20
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