Regularity of the m-symphonic map

Masashi Misawa () and Nobumitsu Nakauchi ()
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Masashi Misawa: Kumamoto University
Nobumitsu Nakauchi: Yamaguchi University

Partial Differential Equations and Applications, 2021, vol. 2, issue 2, 1-20

Abstract: Abstract We introduce a new energy functional of conformal invariance and consider its critical points, named the m-symphonic map. We study a Hölder continuity of m-symphonic maps from domains of $$\mathbb {R}^m$$ R m into the spheres in the higher dimension $$m \ge 4$$ m ≥ 4 .

Keywords: 58E99; 58E20; 53C43 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-021-00074-y

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