MISC

2016年2月1日

A Hölder continuity of symphonic maps into the spheres

Calculus of Variations and Partial Differential Equations
  • Masashi Misawa
  • ,
  • Nobumitsu Nakauchi

55
開始ページ
1
終了ページ
20
DOI
10.1007/s00526-015-0940-0

© 2016, Springer-Verlag Berlin Heidelberg. In the paper Nakauchi and Takenaka (Ric Mat 60:219–235, 2011) the second author introduced a stationary map for the functional of the L2-norm of the pullbacks of metrics. We call it a symphonic map. In our previous paper Misawa and Nakauchi (Nonlinear Anal 75:5971–5974, 2012), we verify a Hölder continuity of locally minimizing symphonic maps into the Euclidean space. In this paper we show a Hölder continuity of symphonic maps from domains of R4 into the spheres.

リンク情報
DOI
https://doi.org/10.1007/s00526-015-0940-0
Scopus
https://www.scopus.com/record/display.uri?eid=2-s2.0-84955471133&origin=inward
URL
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84955471133&origin=inward