The Lp Gauss image problem

被引：0
|
作者：
Wu, Chuanxi [1 ]
Wu, Di [1 ]
Xiang, Ni [1 ]
机构：
[1] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R China
来源：
GEOMETRIAE DEDICATA | 2022年 / 216卷 / 06期
基金：
中国国家自然科学基金;
关键词：
The L-P Gauss image problem; Surface area measure; Curvature measure; Existence of solution; Blaskchke selection theorem; ROTATIONALLY SYMMETRIC-SOLUTIONS; P-MINKOWSKI PROBLEM; SUBSPACE CONCENTRATION; ALEKSANDROV PROBLEM; CURVATURE; EXISTENCE; FLOW;
D O I：
10.1007/s10711-022-00725-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the L p Gauss image problem, which is a generalization of the L p Aleksandrov problem and the Gauss image problem in convex geometry. We obtain the existence result for the L p Gauss image problem in two cases (i) p > 0 or (ii) p < 0 with the given even measures.
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页数：18
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