Harmonic Maps Between Surfaces (with a Special Chapter on Conformal Mappings) [1 ed.] 9780387133393, 0-387-13339-9
238 19 821KB
English Pages 140 [142] Year 1984
Table of contents :
Introduction....Pages 1-12
Geometric considerations....Pages 12-18
Conformal mappings....Pages 18-38
Existence theorems for harmonic maps between surfaces....Pages 38-53
Uniqueness theorems....Pages 54-65
A-priori C 1,α -estimates....Pages 65-77
A-priori estimates from below for the functional determinant of harmonic diffeomorphisms....Pages 77-86
The existence of harmonic diffeomorphisms which solve a Dirichlet problem....Pages 86-90
C 1, α - a priori estimates for arbitrary domains. Non-variational existence proofs....Pages 90-98
Harmonic coordinates. C 2, α - a - priori estimates for harmonic maps....Pages 98-105
The existence of harmonic diffeomorphisms between surfaces....Pages 106-112
Applications of harmonic maps between surfaces....Pages 112-126
Introduction....Pages 1-12
Geometric considerations....Pages 12-18
Conformal mappings....Pages 18-38
Existence theorems for harmonic maps between surfaces....Pages 38-53
Uniqueness theorems....Pages 54-65
A-priori C 1,α -estimates....Pages 65-77
A-priori estimates from below for the functional determinant of harmonic diffeomorphisms....Pages 77-86
The existence of harmonic diffeomorphisms which solve a Dirichlet problem....Pages 86-90
C 1, α - a priori estimates for arbitrary domains. Non-variational existence proofs....Pages 90-98
Harmonic coordinates. C 2, α - a - priori estimates for harmonic maps....Pages 98-105
The existence of harmonic diffeomorphisms between surfaces....Pages 106-112
Applications of harmonic maps between surfaces....Pages 112-126
![Harmonic Maps Between Surfaces (with a Special Chapter on Conformal Mappings) [1 ed.]
9780387133393, 0-387-13339-9](https://ebin.pub/img/200x200/harmonic-maps-between-surfaces-with-a-special-chapter-on-conformal-mappings-1nbsped-9780387133393-0-387-13339-9.jpg)
![Conformal Geometry and Quasiregular Mappings [1 ed.]
9780387193427, 0387193421](https://ebin.pub/img/200x200/conformal-geometry-and-quasiregular-mappings-1nbsped-9780387193427-0387193421.jpg)
![Moduli of Families of Curves for Conformal and Quasiconformal Mappings [1 ed.]
3540438467, 9783540438465](https://ebin.pub/img/200x200/moduli-of-families-of-curves-for-conformal-and-quasiconformal-mappings-1nbsped-3540438467-9783540438465.jpg)
![Construction and Applications of Conformal Maps, Proceedings of a Symposium [proc. symposium ed.]](https://ebin.pub/img/200x200/construction-and-applications-of-conformal-maps-proceedings-of-a-symposium-proc-symposiumnbsped.jpg)
![Enthusiasm: A Chapter in the History of Religion: With Special Reference to the XVII and XVIII Centuries [1.0]](https://ebin.pub/img/200x200/enthusiasm-a-chapter-in-the-history-of-religion-with-special-reference-to-the-xvii-and-xviii-centuries-10-o-3868633.jpg)