The planar Lp dual Minkowski problem

被引：6
|
作者：
Sheng, Weimin [1 ]
Xia, Shucan [1 ]
机构：
[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2021年 / 64卷 / 07期
基金：
中国国家自然科学基金;
关键词：
L-p dual Minkowski type problem; elliptic PDE; degree theory; CURVATURE;
D O I：
10.1007/s11425-020-1682-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the L-p q-dual Minkowski problem for the case p < 0 < q. We prove for any positive smooth function f on S1, there exists an F : R+ -> R-, such that if F (q) < p < 0 or 0 < q < -F(-p) then there is a smooth and strictly convex body solving the planar L-p q-dual Minkowski problem.
引用
收藏
页码：1637 / 1648
页数：12
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