The Generalized Davies Problem for Polyharmonic Operators
- 作者: Avkhadiev F.1
-
隶属关系:
- Kazan (Volga Region) Federal University
- 期: 卷 58, 编号 6 (2017)
- 页面: 932-942
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171535
- DOI: https://doi.org/10.1134/S0037446617060027
- ID: 171535
如何引用文章
详细
The Davies problem is connected with the maximal constants in Hardy-type inequalities. We study the generalizations of this problem to the Rellich-type inequalities for polyharmonic operators in domains of the Euclidean space. The estimates are obtained solving the generalized problem under an additional minimal condition on the boundary of the domain. Namely, for a given domain we assume the existence of two balls with sufficiently small radii and the following property: the balls have only a sole common point; one ball lies inside the domain and the other is disjoint from the domain.
作者简介
F. Avkhadiev
Kazan (Volga Region) Federal University
编辑信件的主要联系方式.
Email: avkhadiev47@mail.ru
俄罗斯联邦, Kazan