A GEOMETRICAL VERSION OF HARDY-RELLICH TYPE INEQUALITIES

被引：6
|
作者：
Nasibullin, Ramil [1 ]
机构：
[1] Kazan VI Lenin State Univ, NI Lobachevsky Inst Math & Mech, 8 Kremlyovskaya Str, Kazan 420008, Russia
来源：
MATHEMATICA SLOVACA | 2019年 / 69卷 / 04期
关键词：
Hardy inequality; Rellich inequality; Bessel function; Lamb constant; distance function; Laplace operator; additional term; DOMAINS; CONSTANT;
D O I：
10.1515/ms-2017-0268
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtained a version of Hardy-Rellich type inequality in a domain Omega is an element of R-n which involves the distance to the boundary, the diameter and the volume of Omega. Weight functions in the inequalities depend on the "mean-distance" function and on the distance function to the boundary of Omega. The proved inequalities connect function to first and second order derivatives.
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页码：785 / 800
页数：16
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