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Birkhäuser

Theorems on Regularity and Singularity of Energy Minimizing Maps

  • Book
  • © 1996

Overview

Authors:
  1. Leon Simon

    1. Department of Mathematics, Stanford University, Stanford, USA

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

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-vii
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  2. Analytic Preliminaries

    • Leon Simon
    Pages 1-18

  3. Regularity Theory for Harmonic Maps

    • Leon Simon
    Pages 19-50

  4. Approximation Properties of the Singular Set

    • Leon Simon
    Pages 51-90

  5. Rectihability of the Singular Set

    • Leon Simon
    Pages 91-146

  6. Back Matter

    Pages 147-152
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Keywords

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.

Authors and Affiliations

  • Department of Mathematics, Stanford University, Stanford, USA

    Leon Simon

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