Theorems on Regularity and Singularity of Energy Minimizing Maps

  • Leon Simon

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

  • Leon Simon
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

Bibliographic information