Another proof of the regularity of harmonic maps from a Riemannian manifold to the unit sphere
We shall consider harmonic maps from $n$-dimensional compact connected Riemannian manifold with boundary to the unit sphere under the Dirichlet boundary condition. We claim that if the Dirichlet data is smooth and so-called "small", all minimizers of the energy functional are also smo...
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| Format: | Article |
| Language: | English |
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Texas State University
2014-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/34/abstr.html |