On some higher order Hardy-Rellich type inequalities with boundary terms

被引：5

作者：

Berchio, Elvise ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Matemat Politecn, I-20133 Milan, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 08期

关键词：

Hardy-Rellich inequalities; Remainder terms; Boundary eigenvalues; POSITIVITY; CONSTANTS;

D O I：

10.1016/j.na.2008.12.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine boundary remainder terms for some higher order Hardy-Rellich inequalities involving the polyharmonic operator (-Delta)(m). The results are proved by studying suitable auxiliary boundary eigenvalue problems, the optimal constants found may not be the classical Hardy-Rellich ones. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2834 / 2841

页数：8

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