Two-Dimensional Geometric Variational Problems

Front Cover
Wiley, Mar 29, 1991 - Mathematics - 236 pages
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.

From inside the book

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Regularity and uniqueness results
32
Conformal representation
85
Existence results
106
Copyright

3 other sections not shown

Common terms and phrases

Bibliographic information