Hardy inequalities for Robin Laplacians

被引：17
|
作者：
Kovarik, Hynek [1 ]
Laptev, Ari [2 ]
机构：
[1] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy
[2] Univ London Imperial Coll Sci Technol & Med, London SW7 2AZ, England
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2012年 / 262卷 / 12期
关键词：
Robin Laplacian; Hardy inequality; GEOMETRICAL VERSION;
D O I：
10.1016/j.jfa.2012.03.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish a Hardy inequality for Laplace operators with Robin boundary conditions. For convex domains, in particular, we show explicitly how the corresponding Hardy weight depends on the coefficient of the Robin boundary conditions. We also study several extensions to non-convex and unbounded domains. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：4972 / 4985
页数：14
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