Harmonic Maps Between Surfaces (with a Special Chapter on Conformal Mappings)
Harmonic Maps Between Surfaces (with a Special Chapter on Conformal Mappings)
Geometric considerations.- Conformal mappings.- Existence theorems for harmonic maps between surfaces.- Uniqueness theorems.- A-priori C1,?-estimates.- A-priori estimates from below for the functional determinant of harmonic diffeomorphisms.- The existence of harmonic diffeomorphisms which solve a Dirichlet problem.- C1, ? - a priori estimates for arbitrary domains. Non-variational existence proofs.- Harmonic coordinates. …