Boundary behavior of monotone Sobolev functions in Orlicz spaces on John domains in a metric space
type: Item
instance of: scholarly article
title: Boundary behavior of monotone Sobolev functions in Orlicz spaces on John domains in a metric space
zbMATH Open document ID: 1395.30060
author: Toshihide Futamura
author: Tetsu Shimomura
published in: The Journal of Geometric Analysis
publication date: 2018-07-12T00:00:00Z
Mathematics Subject Classification ID: 30L99
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 6902266
zbMATH Keywords: metric measure space
zbMATH Keywords: monotone Sobolev functions
zbMATH Keywords: boundary limits
zbMATH Keywords: John domains
zbMATH Keywords: Orlicz spaces
MaRDI profile type: Publication
full work available at URL: s12220-017-9860-x
OpenAlex ID: W2611616352
cites work: Nonlinear potential theory on metric spaces
cites work: Is an Orlicz-Poincaré inequality an open ended condition, and what does that mean?
cites work: Boundary behavior of monotone Sobolev functions on John domains in a metric space
cites work: Sobolev met Poincaré
cites work: Q4693180
cites work: Absolutely continuous curves in extended Wasserstein−Orlicz spaces
cites work: Weakly monotone functions
cites work: Traces of monotone Sobolev functions
cites work: Traces of monotone functions in weighted Sobolev spaces
cites work: Q4216744
cites work: On the boundary limits of harmonic functions
cites work: On the existence of weighted boundary limits of harmonic functions
cites work: Boundary limits of polyharmonic functions in sobolev-orlicz spaces
cites work: Q4871647
cites work: Q4248215
cites work: Differentiability and Holder continuity of Riesz potentials of Orlicz functions
cites work: Q3992482
cites work: Boundary limits for bounded quasiregular mappings
cites work: Conformal geometry and quasiregular mappings
DOI: 10.1007/S12220-017-9860-X
Recommended article: Boundary behavior of monotone Sobolev functions on John domains in a metric space
Recommended article: Boundary limits of monotone Sobolev functions in Musielak-Orlicz spaces on uniform domains in a metric space
Recommended article: On the boundary limits of monotone Sobolev functions in variable exponent Orlicz spaces
Recommended article: Boundary limits of monotone Sobolev functions on metric spaces
Recommended article: An Orlicz-Besov Poincaré inequality via John domains
Recommended article: Boundary limits of monotone Sobolev functions with variable exponent on uniform domains in a metric space
Recommended article: Lindelöf theorems for monotone Sobolev functions in Orlicz spaces on uniform domains
Recommended article: Boundary behavior of Orlicz-Sobolev classes
Recommended article: On monotone-like mappings in Orlicz-Sobolev spaces
Recommended article: A fractional Orlicz-Sobolev Poincaré inequality in John domains
description: scientific article; zbMATH DE number 6902266