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Jost, Jürgen.

Harmonic Maps Between Surfaces (with a Special Chapter on Conformal Mappings) [electronic resource] / by Jürgen Jost. - XII, 140 p. online resource. - Lecture Notes in Mathematics, 1062 0075-8434 ; . - Lecture Notes in Mathematics, 1062 .

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.

ISBN: 9783540388685

Standard No.: 10.1007/BFb0100160 doi

Subjects--Topical Terms:
Global analysis (Mathematics).
Global differential geometry.
Analysis.
Differential Geometry.

LC Class. No.: QA299.6-433

Dewey Class. No.: 515