A remark on the equality \(\text{det} Df=\text{Det} Df\)
type: Item
instance of: scholarly article
title: A remark on the equality \(\text{det} Df=\text{Det} Df\)
zbMATH Open document ID: 0784.49013
author: Luigi Greco
published in: Differential and Integral Equations
publication date: 1993-12-08T00:00:00Z
review text: A class of functions mapping an open subset \(\Omega\) of \(\mathbb{R}^ N\) into \(\mathbb{R}^ N\) is introduced, which is larger than \(W^{1,N}(\Omega,\mathbb{R}^ N)\) and smaller than each \(W^{1,p}(\Omega,\mathbb{R}^ N)\), with \(p<N\). For the functions of this class equality between the pointwise Jacobian and the so-called weak determinant introduced by J. Ball is proved.
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 459193
zbMATH Keywords: Zygmund classes
zbMATH Keywords: pointwise Jacobian
zbMATH Keywords: weak determinant
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description: scientific article; zbMATH DE number 459193