Elliptic equations with nonstandard growth involving measures
type: Item
instance of: scholarly article
title: Elliptic equations with nonstandard growth involving measures
zbMATH Open document ID: 1148.35034
author: Teemu Lukkari
published in: Hiroshima Mathematical Journal
publication date: 2008-06-18T00:00:00Z
review text: The author prove the existence of a superharmonic function, which satisfies the equation \[ \operatorname{div} A(x,Du) = \mu \] in the sense of distributions. Here \(\mu\) is a Radon measure and \(A\) is an elliptic operator with \(p(x)\)-type nonstandard growth.
reviewed by: Marco Biroli
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 31C05
zbMATH DE Number: 5289879
zbMATH Keywords: nonstandard growth
zbMATH Keywords: measure data
zbMATH Keywords: superharmonic functions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1207580349
OpenAlex ID: W2148847817
Wikidata QID: Q128866182
DOI: 10.32917/HMJ/1207580349
description: scientific article; zbMATH DE number 5289879