On the regularity of very weak solutions for linear elliptic equations in divergence form
type: Item
instance of: scholarly article
title: On the regularity of very weak solutions for linear elliptic equations in divergence form
zbMATH Open document ID: 1452.35056
author: Domenico Angelo La Manna
author: Chiara Leone
author: R. Schiattarella
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2020-10-12T00:00:00Z
review text: The authors consider a linear homogeneous elliptic equation in divergence form and show that its very weak solutions are actually weak. In order to get the result, they assume that the leading part coefficients satisfy a weak differentiability assumption, i.e., they belong to the space \(W^{1,n}(\Omega)\) and the continuity modulus satisfies a Dini-type continuity assumption.
reviewed by: Giuseppe Di Fazio
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35J15
zbMATH DE Number: 7259452
zbMATH Keywords: elliptic equations
zbMATH Keywords: very weak solutions
zbMATH Keywords: differentiability
zbMATH Keywords: Dini-type continuity
MaRDI profile type: Publication
full work available at URL: s00030-020-00646-8
OpenAlex ID: W3044129841
Wikidata QID: Q109744184
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DOI: 10.1007/S00030-020-00646-8
description: scientific article; zbMATH DE number 7259452