The Dual Minkowski Problem for p-Capacity

被引：0
|
作者：
Ji, Lewen [1 ]
机构：
[1] East China Univ Technol, Sch Sci, Nanchang 330013, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2024年 / 34卷 / 06期
关键词：
p-capacity; Log-Minkowski inequality; Dual Minkowski problem; BUSEMANN-PETTY PROBLEM; SUBSPACE CONCENTRATION; ALEKSANDROV PROBLEM; GAUSS CURVATURE; INEQUALITY; REGULARITY; EXISTENCE;
D O I：
10.1007/s12220-024-01615-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new family of geometric Borel measures on the unit sphere is introduced, which extends the L-0 p-capacitary measures proposed by Zou and Xiong (J Differ Geom 116:555-596, 2020). In this paper, we consider the existence of the solution to the p-capacitary dual Minkowski problem when 1 < p < n and q < 0. Moreover, log-Minkowski style inequality for dual mixed p-capacity when q < 0 is established
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页数：30
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