In 1981, E. Reich established a theorem which stated a sufficient condition for a quasiconformal mapping to be a unique extremal mapping with the given boundary value, and asked whether or not such a uniquely extremal...In 1981, E. Reich established a theorem which stated a sufficient condition for a quasiconformal mapping to be a unique extremal mapping with the given boundary value, and asked whether or not such a uniquely extremal mapping was a Teichmüller mapping in his remark. In this paper, the above open problem was solved and consequently the theorem was strengthened.展开更多
基金National Natural Science foundation ofChina!( No.195310 60 ) Doctor Fundsof National Education Committec!( 970 2 4 811)
文摘In 1981, E. Reich established a theorem which stated a sufficient condition for a quasiconformal mapping to be a unique extremal mapping with the given boundary value, and asked whether or not such a uniquely extremal mapping was a Teichmüller mapping in his remark. In this paper, the above open problem was solved and consequently the theorem was strengthened.
