Two-Dimensional Geometric Variational Problems
Jürgen Jost
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.
Categorias:
Ano:
1991
Edição:
1
Editora:
Wiley
Idioma:
english
Páginas:
250
ISBN 10:
0471928399
ISBN 13:
9780471928393
Série:
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Arquivo:
PDF, 8.07 MB
IPFS:
,
english, 1991