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.
| Autorius: | Jürgen Jost |
| Serija: | Lecture Notes in Mathematics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 1984 |
| Knygos puslapių skaičius: | 148 |
| ISBN-10: | 3540133399 |
| ISBN-13: | 9783540133391 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Differential and Riemannian geometry |
Parašykite atsiliepimą apie „Harmonic Maps Between Surfaces: (With a Special Chapter on Conformal Mappings)“
