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
On the classical Dirichlet problem in the plane with rational data
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2006 (English)In: Journal d'Analyse Mathematique, ISSN 0021-7670, E-ISSN 1565-8538, Vol. 100, 157-190 p.Article in journal (Refereed) Published
Abstract [en]

We consider the Dirichlet problem for the Laplace operator with rational data on the boundary of a planar domain. Our main results include a characterization of the disk as the only domain for which all solutions are rational and a characterization of the simply connected quadrature domains as the only ones for which all solutions are algebraic of a certain type.

Place, publisher, year, edition, pages
2006. Vol. 100, 157-190 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-37349DOI: 10.1007/BF02916759ISI: 000245687800006Scopus ID: 2-s2.0-34247464655OAI: oai:DiVA.org:kth-37349DiVA: diva2:433366
Available from: 2011-08-09 Created: 2011-08-09 Last updated: 2017-12-08Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Shapiro, Harold S.
By organisation
Mathematics (Dept.)
In the same journal
Journal d'Analyse Mathematique
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 24 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