Junichi Aramaki
Abstract:
We shall consider harmonic maps from
-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 smooth and "small".
Submitted September 16, 2013. Published January 27, 2014.
Math Subject Classifications: 58E20, 53C43, 58E30.
Key Words: Harmonic maps; minimizing harmonic maps; weak Harnack inequality.
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Junichi Aramaki Division of Science, Faculty of Science and Engineering Tokyo Denki University, Hatoyama-machi, Saitama 350-0394, Japan email: aramaki@mail.dendai.ac.jp |
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