Quasiconformal mappings that are extremal with respect to their boundary values
The author considers the set of all extremal homeomorphisms of a given class relatively to their boundary values. Some theorems characterizing the class of extremal homeomorphisms in the case when it contains infinitely many elements are proved. A specialization of the obtained results to the case of quasiconformal mappings is given.
scientific article; zbMATH DE number 4006615