Harmonic maps between surfaces : with a special chapter on conformal mappings

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Harmonic maps between surfaces : with a special chapter on conformal mappings

Jürgen Jost

(Lecture notes in mathematics, 1062)

Springer-Verlag, 1984

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Bibliography: p. [127]-133

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Table of Contents

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. C2, ? - a - priori estimates for harmonic maps.- The existence of harmonic diffeomorphisms between surfaces.- Applications of harmonic maps between surfaces.

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