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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Format: | Article |
Language: | English |
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Texas State University
2003-01-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2003/01/abstr.html |