Jürgen Jost

Harmonic Maps Between Surfaces

(With a Special Chapter on Conformal Mappings)

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Lecture Notes in Mathematics 1062
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-13339-1
• 1984.
• Seitenzahl: 148
• Erscheinungstermin: 1. Mai 1984
• Englisch
• Abmessung: 235mm x 155mm x 9mm
• Gewicht: 252g
• ISBN-13: 9783540133391
• ISBN-10: 3540133399
• Artikelnr.: 23887149

Inhaltsangabe

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.