Harmonic Maps Between Surfaces (with a Special Chapter on Conformal Mappings) [electronic resource] / by Jürgen Jost.

By: Jost, Jürgen [author.]Contributor(s): SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1062Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1984Description: XII, 140 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540388685Subject(s): Mathematics | Global analysis (Mathematics) | Global differential geometry | Mathematics | Analysis | Differential GeometryAdditional physical formats: Printed edition:: No titleDDC classification: 515 LOC classification: QA299.6-433Online resources: Click here to access online
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.
In: Springer eBooks
Item type: E-BOOKS
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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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