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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

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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 $\mathbb {R}^3$