Multiple solutions of the Dirichlet problem for harmonic maps from discs into 2-spheres |
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Authors: | Jie Qing |
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Institution: | (1) Department of Mathematics, UCLA, 90024 Los Angeles, CA, U.S.A. |
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Abstract: | In this paper we study the topology of the space of maps from the disc into the 2-sphere with given boundary data by comparing
to the topology of the space of rational functions. And we prove theorems about multiple solutions of the Dirichlet problem
for harmonic maps in one homotopy class. |
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Keywords: | |
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