Partial regularity results up to the boundary for harmonic maps into a Finsler manifold |
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Authors: | Atsushi Tachikawa |
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Institution: | aDepartment of Mathematics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba 278-8510, Japan |
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Abstract: | We study the energy functional for maps from a Riemannian m-manifold M into a Finsler space N=(Rn,F). Under the restriction 2?m?4, we prove the full Hölder regularity of weakly harmonic maps (i.e., weak solutions of its Euler–Lagrange equation) from M to N in the case that the Finsler structure F(u,X) depends only on vectors X, and a partial Hölder regularity of energy minimizing maps in general cases. |
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Keywords: | Harmonic map Finsler manifold Partial regularity |
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