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On the uniqueness problem of harmonic quasiconformal mappings |
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| Authors: | Wei Hanbai |
| Institution: | Institute of Mathematics, Fudan University, Shanghai 200433, People's Republic of China |
| Abstract: | In this paper, we give an affirmative answer to Sheretov's problem on the uniqueness of harmonic mappings and improve the unique minimal mapping theorem of Reich and Strebel. Meanwhile, we also solve a problem posed by Reich and obtain the uniqueness theorem on related weight functions. |
| Keywords: | Douglas-Dirichlet functional harmonic mappings quasiconformal mappings |
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