A note on the second order geometric Rellich inequality on half-space
type: Item
instance of: scholarly article
title: A note on the second order geometric Rellich inequality on half-space
zbMATH Open document ID: 1468.26012
author: L. L. Phi
author: Nguyen Tuan Duy
author: Nguyen Lam
published in: Monatshefte für Mathematik
publication date: 2021-06-08T00:00:00Z
review text: By technique choice of differential operators and mainly integrations by parts, the authors prove a two-parameter family of second-order geometric Rellich -type equalities on the half-space \(\mathbb{R}_{+}^{n}\). As a consequence, the authors deduce several refined geometric Rellich-type inequalities. They also proved an improved version of the Rellich-Sobolev-Maz'ya-type inequality.
reviewed by: Meng Qu
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 35A23
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 7356427
zbMATH Keywords: Rellich inequality
zbMATH Keywords: Hardy inequality
zbMATH Keywords: factorization of differential operators
MaRDI profile type: Publication
full work available at URL: s00605-020-01490-9
OpenAlex ID: W3142539524
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DOI: 10.1007/S00605-020-01490-9
description: scientific article; zbMATH DE number 7356427