View in EDS

Examples of \({p}\)-Harmonic Maps.

Saved in:
Bibliographic Details
Title: Examples of \({p}\)-Harmonic Maps.
Authors: Balci, Anna1 (AUTHOR) akhripun@math.uni-bielefeld.de, Behn, Linus1 (AUTHOR) linus.behn@math.uni-bielefeld.de, Diening, Lars1 (AUTHOR) lars.diening@uni-bielefeld.de, Storn, Johannes2 (AUTHOR) johannes.storn@uni-leipzig.de
Source: SIAM Journal on Mathematical Analysis. 2026, Vol. 58 Issue 1, p260-275. 16p.
Subjects: Harmonic maps, Hurwitz polynomials, Mathematicians, Differentiable functions
Abstract: We construct explicit examples of \(p\) -harmonic maps \(u\colon \mathbb{R}^n \to \mathbb{R}^N\). These are more irregular than the previously known examples and thus provide new upper bounds for the regularity of \(p\) -harmonic maps, including the case of \(\infty\) -harmonic maps in the sense of Aronsson. To optimize our approach, we utilize solutions of the Hurwitz problem from algebra. [ABSTRACT FROM AUTHOR]
Copyright of SIAM Journal on Mathematical Analysis is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 191988922
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Examples of \({p}\)-Harmonic Maps.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Balci%2C+Anna%22">Balci, Anna</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> akhripun@math.uni-bielefeld.de</i><br /><searchLink fieldCode="AR" term="%22Behn%2C+Linus%22">Behn, Linus</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> linus.behn@math.uni-bielefeld.de</i><br /><searchLink fieldCode="AR" term="%22Diening%2C+Lars%22">Diening, Lars</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> lars.diening@uni-bielefeld.de</i><br /><searchLink fieldCode="AR" term="%22Storn%2C+Johannes%22">Storn, Johannes</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> johannes.storn@uni-leipzig.de</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22SIAM+Journal+on+Mathematical+Analysis%22">SIAM Journal on Mathematical Analysis</searchLink>. 2026, Vol. 58 Issue 1, p260-275. 16p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Harmonic+maps%22">Harmonic maps</searchLink><br /><searchLink fieldCode="DE" term="%22Hurwitz+polynomials%22">Hurwitz polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematicians%22">Mathematicians</searchLink><br /><searchLink fieldCode="DE" term="%22Differentiable+functions%22">Differentiable functions</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We construct explicit examples of \(p\) -harmonic maps \(u\colon \mathbb{R}^n \to \mathbb{R}^N\). These are more irregular than the previously known examples and thus provide new upper bounds for the regularity of \(p\) -harmonic maps, including the case of \(\infty\) -harmonic maps in the sense of Aronsson. To optimize our approach, we utilize solutions of the Hurwitz problem from algebra. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of SIAM Journal on Mathematical Analysis is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=191988922
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1137/25M1755539
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 16
        StartPage: 260
    Subjects:
      – SubjectFull: Harmonic maps
        Type: general
      – SubjectFull: Hurwitz polynomials
        Type: general
      – SubjectFull: Mathematicians
        Type: general
      – SubjectFull: Differentiable functions
        Type: general
    Titles:
      – TitleFull: Examples of \({p}\)-Harmonic Maps.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Balci, Anna
      – PersonEntity:
          Name:
            NameFull: Behn, Linus
      – PersonEntity:
          Name:
            NameFull: Diening, Lars
      – PersonEntity:
          Name:
            NameFull: Storn, Johannes
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Text: 2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 00361410
          Numbering:
            – Type: volume
              Value: 58
            – Type: issue
              Value: 1
          Titles:
            – TitleFull: SIAM Journal on Mathematical Analysis
              Type: main
ResultId 1