On the Hardy constant of non-convex planar domains: The case of the quadrilateral

被引：7
|
作者：
Barbatis, G. [1 ]
Tertikas, A. [2 ,3 ]
机构：
[1] Univ Athens, Dept Math, Athens 15784, Greece
[2] Univ Crete, Dept Math, Iraklion 71409, Greece
[3] FORTH, Inst Appl & Computat Math, Iraklion 71110, Greece
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2014年 / 266卷 / 06期
关键词：
Hardy inequality; Hardy constant; Distance function; INEQUALITIES;
D O I：
10.1016/j.jfa.2013.08.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Hardy constant of a simply connected domain Omega subset of R-2 is the best constant for the inequality [GRAPHICS] After the work of Ancona where the universal lower bound 1/16 was obtained, there has been a substantial interest on computing or estimating the Hardy constant of planar domains. In this work we determine the Hardy constant of an arbitrary quadrilateral in the plane. In particular we show that the Hardy constant is the same as that of a certain infinite sectorial region which has been studied by E.B. Davies. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：3701 / 3725
页数：25
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