ENGLISH

Two-Dimensional Geometric Variational Problems

By Jürgen Jost

Book information

Publisher
Wiley
Year
1991
ISBN
0471928399, 9780471928393
Language
english
Format
DJVU
Filesize
2 MB (2183928 bytes)
Series
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Edition
1
Pages
250\251
DPI
600
Time added
2016-05-07 16:04:10

Description

This monograph treats variational problems for mappings from a surface equipped with a conformal structure into Euclidean space or a Riemannian manifold. Presents a general theory of such variational problems, proving existence and regularity theorems with particular conceptual emphasis on the geometric aspects of the theory and thorough investigation of the connections with complex analysis. Among the topics covered are: Plateau's problem, the regularity theory of solutions, a variational approach for obtaining various conformal representation theorems, a general existence theorem for harmonic mappings, and a new approach to Teichmuller theory via harmonic maps.

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