A note on Hardy's inequalities with boundary singularities

被引：4

作者：

Fall, Mouhamed Moustapha ^{[1
]}

机构：

[1] Goethe Univ Frankfurt, Inst Math, D-60054 Frankfurt, Germany

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 02期

关键词：

Hardy inequality; Extremals; P-Laplacian; Cone-like domains; Improved Hardy inequality;

D O I：

10.1016/j.na.2011.09.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega be a smooth bounded domain in R-N with N >= 1. In this paper we study the Hardy-Poincare inequalities with weight function singular at the boundary of Omega. In particular we give sufficient conditions so that the best constant is achieved. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：951 / 963

页数：13

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