liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A regularity classification of boundary points for p-harmonic functions and quasiminimizers
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-9677-8321
2008 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 338, no 1, 39-47 p.Article in journal (Refereed) Published
Abstract [en]

In this paper it is shown that irregular boundary points for p-harmonic functions as well as for quasiminimizers can be divided into semiregular and strongly irregular points with vastly different boundary behaviour. This division is emphasized by a large number of characterizations of semiregular points. The results hold in complete metric spaces equipped with a doubling measure supporting a Poincaré inequality. They also apply to Cheeger p-harmonic functions and in the Euclidean setting to -harmonic functions, with the usual assumptions on .

Place, publisher, year, edition, pages
2008. Vol. 338, no 1, 39-47 p.
Keyword [en]
A-harmonic; Dirichlet problem; Doubling measure; Irregular point; Metric space; Nonlinear; p-Harmonic; Poincaré inequality; Quasiharmonic; Quasiminimizer; Semiregular; Strongly irregular
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-18175DOI: 10.1016/j.jmaa.2007.04.068OAI: oai:DiVA.org:liu-18175DiVA: diva2:216498
Note
Original Publication: Anders Björn, A regularity classification of boundary points for p-harmonic functions and quasiminimizers, 2008, Journal of Mathematical Analysis and Applications, (338), 1, 39-47. http://dx.doi.org/10.1016/j.jmaa.2007.04.068 Copyright: Elsevier Science B.V., Amsterdam http://www.elsevier.com/ Available from: 2009-05-09 Created: 2009-05-09 Last updated: 2017-12-13Bibliographically approved

Open Access in DiVA

fulltext(231 kB)617 downloads
File information
File name FULLTEXT01.pdfFile size 231 kBChecksum SHA-512
4c538dc71563990279d0ef21ee302882c250e5ab7709c0c762924dcc74cac0b20c8961c776bd8bb13e16b562f7d8146a36a7edbd36dd3d24e220ea408cd3c037
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Authority records BETA

Björn, Anders

Search in DiVA

By author/editor
Björn, Anders
By organisation
Applied MathematicsThe Institute of Technology
In the same journal
Journal of Mathematical Analysis and Applications
Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 617 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 1139 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf