An integral inequality for differentiable functions of several variables
type: Item
instance of: scholarly article
title: An integral inequality for differentiable functions of several variables
zbMATH Open document ID: 0566.26005
DOI: 10.1007/BF00968694
author: Yu G. Reshetnyak
published in: Siberian Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: The integral inequality established in this paper is a consequence of the isoperimetric inequality and generalizes some earlier results of the author [Sib. Mat. Zh. 7, No.5, 1106-1114 (1966; Zbl 0158.327)]. As an application it is shown that some transformations \(f: U\to R^ n\) (U open in \(R^ n\), f in \(W^ 1_{k,loc}(U))\) satisfy the Hölder condition on every compact subset \(A\subset U.\)
reviewed by: Ioan Raşa
Mathematics Subject Classification ID: 26D10
zbMATH DE Number: 3902953
zbMATH Keywords: integral inequality
zbMATH Keywords: isoperimetric inequality
zbMATH Keywords: Hölder condition
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3902953