On the uniqueness problem of harmonic quasiconformal mappings
Authors:
Wei Hanbai
Affiliation:
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.