Lindelöf theorems for monotone Sobolev functions in Orlicz spaces
type: Item
instance of: scholarly article
title: Lindelöf theorems for monotone Sobolev functions in Orlicz spaces
zbMATH Open document ID: 1309.31007
author: Fausto Di Biase
author: Toshihide Futamura
author: Tetsu Shimomura
published in: Illinois Journal of Mathematics
publication date: 2015-01-14T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ijm/1417442561
review text: A continuous function \(u\) in \(B = \{ x\in R^n: \;|x| <1 \}\) is called monotone if \[ \max_{\overline{D}} u = \max_{\partial D} u, \qquad \min_{\overline{D}} u = \min_{\partial D} u, \] for any domain \(D\) with \(D \subset \overline{B}\). The paper deals with the Lindelöf problem asking for conditions ensuring that \(u\) has tangential and nontangential limits at \(\xi\) with \(|\xi| =1\).
reviewed by: Hans Triebel
Mathematics Subject Classification ID: 31B25
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 6386416
zbMATH Keywords: Lindelöf theorem
MaRDI profile type: Publication
cites work: Boundary behavior of monotone Sobolev functions on John domains in a metric space
cites work: Regularity theory and traces of 𝒜-harmonic functions
cites work: Traces of monotone Sobolev functions
description: scientific article; zbMATH DE number 6386416