An epsilon-regularity result for generalized harmonic maps into spheres

For $m,n ge 2$ and $1 < p < 2$, we prove that a map $u in W_mathrm{loc}^{1,p}(Omega,mathbb{S}^{n - 1})$ from an open domain $Omega subset mathbb{R}^m$ into the unit $(n - 1)$-sphere, which solves a generalized version of the harmonic map equation, is smooth, provided that $2 - p$ and $[u]_{mat...

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Bibliographic Details
Main Author: Roger Moser
Format: Article
Language:English
Published: Texas State University 2003-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/01/abstr.html