© 1996

Theorems on Regularity and Singularity of Energy Minimizing Maps


Part of the Lectures in Mathematics ETH Zürich book series (LM)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Leon Simon
    Pages 1-18
  3. Leon Simon
    Pages 19-50
  4. Leon Simon
    Pages 91-146
  5. Back Matter
    Pages 147-152

About this book


The aim of these lecture notes is to give an essentially self-contained introduction to the basic regularity theory for energy minimizing maps, including recent developments concerning the structure of the singular set and asymptotics on approach to the singular set. Specialized knowledge in partial differential equations or the geometric calculus of variations is not required; a good general background in mathematical analysis would be adequate preparation.


Calculus of Variations Riemannian manifold differential equation geometric calculus partial differential equation

Authors and affiliations

  1. 1.Department of MathematicsStanford UniversityStanfordUSA

Bibliographic information

  • Book Title Theorems on Regularity and Singularity of Energy Minimizing Maps
  • Authors Leon Simon
  • Series Title Lectures in Mathematics ETH Zürich
  • DOI
  • Copyright Information Birkhäuser Basel 1996
  • Publisher Name Birkhäuser Basel
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-7643-5397-1
  • eBook ISBN 978-3-0348-9193-6
  • Edition Number 1
  • Number of Pages VIII, 152
  • Number of Illustrations 6 b/w illustrations, 0 illustrations in colour
  • Topics Global Analysis and Analysis on Manifolds
    Differential Geometry
  • Buy this book on publisher's site