On the behaviour of \(\infty\)-harmonic functions near isolated points
type: Item
instance of: scholarly article
title: On the behaviour of \(\infty\)-harmonic functions near isolated points
zbMATH Open document ID: 1053.31003
author: Tilak Bhattacharya
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2004-09-23T00:00:00Z
review text: The author obtains some informations about \(\infty\)-harmonic functions in the setting of viscosity solutions. He considers bounded solutions and solutions that are only locally bounded near exceptional points. He makes no use of approximating sequences but of the Harnack inequality and frequent use of the comparison principle. Particulary interesting is the appendix containing an example of a strongly singular solution and the study of the case of the ball.
reviewed by: Maria Alessandra Ragusa
Mathematics Subject Classification ID: 31B05
Mathematics Subject Classification ID: 31C05
Mathematics Subject Classification ID: 49L25
Mathematics Subject Classification ID: 31B35
Mathematics Subject Classification ID: 31B25
zbMATH DE Number: 2102587
zbMATH Keywords: harmonic functions
zbMATH Keywords: viscosity solutions
zbMATH Keywords: isolated points
MaRDI profile type: Publication
full work available at URL: j.na.2004.02.028
OpenAlex ID: W1980185542
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DOI: 10.1016/J.NA.2004.02.028
description: scientific article; zbMATH DE number 2102587