Variational problem of some quadratic functionals in complex analysis
For maps between marked closed Riemann surfaces a program of H. E. Rauch (see \textit{M. Gerstenhaber} and \textit{H. E. Rauch}, Proc. Natl. Acad. Sci. 40, 808-812, 991-994 (1954; Zbl 0056.07502) studied the existence of Teichmüller's extremal map by minimizing the energy functionals. The paper under review contributes to that program, by examining related quadratic functionals of maps.
scientific article; zbMATH DE number 1246348
scientific article