Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • 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 note on the equilibrium potential of certain Dirichlet spaces
Luleå tekniska universitet.
1997 (English)In: Potential Analysis, ISSN 0926-2601, E-ISSN 1572-929X, Vol. 6, no 1, p. 99-104Article in journal (Refereed) Published
Abstract [en]

There exists an equilibrium potential, an element of a Dirichlet space, for any compact subset, with non-emtpy interior, of Rm. This potential is constant on the interior of the set. There is a corresponding measure that is 0 outside the set. We prove that the restriction of this equilibrium measure to the interior of the set is absolutely continuous, and we derive an explicit formula for its density.

Place, publisher, year, edition, pages
1997. Vol. 6, no 1, p. 99-104
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-2735DOI: 10.1023/A:1008631408655ISI: A1997WP51100006Local ID: 06c178c0-ac52-11db-aeba-000ea68e967bOAI: oai:DiVA.org:ltu-2735DiVA, id: diva2:975588
Note

Godkänd; 1997; 20070125 (evan)

Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Search in DiVA

By author/editor
Dunkels, Andrejs
In the same journal
Potential Analysis
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 14 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • 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