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Existence theorems for minimal surfaces of nonzero genus spanning a contour
About this Title
Friedrich Tomi and Anthony J. Tromba
Publication: Memoirs of the American Mathematical Society
Publication Year:
1988; Volume 71, Number 382
ISBNs: 978-0-8218-2445-0 (print); 978-1-4704-0802-2 (online)
DOI: https://doi.org/10.1090/memo/0382
MathSciNet review: 920962
MSC: Primary 58E12; Secondary 49F10, 53A10
Table of Contents
Chapters
- Introduction
- 1. On Teichmiiller theory for oriented surfaces
- 2. The variational problem
- 3. Compactness in the moduli space
- 4. The general existence theorem
- 5. Application to Plateau’s problem in $\mathbb {R}^3$