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Geometric Measure Theory and Minimal Surfaces

Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, August 24 - September 2, 1972

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  • © 2011

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Editors:
  1. E. Bombieri
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Part of the book series: C.I.M.E. Summer Schools (CIME, volume 61)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-iii
    Download chapter PDF

  2. On the First Variation of Area and Generalized Mean Curvature

    • W. K. Allard
    Pages 1-30

  3. Geometric Measure Theory and Elliptic Variational Problems

    • F. J. Almgren Jr.
    Pages 31-117

  4. Minimal Surfaces with Obstacles

    • E. Giusti
    Pages 119-153

  5. Singularities in Soap-Bubble-Like and Soap-Film-Like Surfaces

    • Jean Guckenheimer
    Pages 155-171

  6. The Analyticity of the Coincidence Set in Variational Inequalities

    • D. Kinderlehrer
    Pages 173-187

  7. Boundaries of Caccioppoli Sets in the Calculus of Variations

    • Mario Miranda
    Pages 189-220

  8. De Giorgi'S Measure and Thin Obstacles

    • Livio C. Piccinini
    Pages 221-230
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About this book

W.K. ALLARD: On the first variation of area and generalized mean curvature.- F.J. ALMGREN Jr.: Geometric measure theory and elliptic variational problems.- E. GIUSTI: Minimal surfaces with obstacles.- J. GUCKENHEIMER: Singularities in soap-bubble-like and soap-film-like surfaces.- D. KINDERLEHRER: The analyticity of the coincidence set in variational inequalities.- M. MIRANDA: Boundaries of Caciopoli sets in the calculus of variations.- L. PICCININI: De Giorgi’s measure and thin obstacles.

Bibliographic Information

  • Book Title: Geometric Measure Theory and Minimal Surfaces

  • Book Subtitle: Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, August 24 - September 2, 1972

  • Editors: E. Bombieri

  • Series Title: C.I.M.E. Summer Schools

  • DOI: https://doi.org/10.1007/978-3-642-10970-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2011

  • Softcover ISBN: 978-3-642-10969-0Published: 30 November 2010

  • eBook ISBN: 978-3-642-10970-6Published: 04 June 2011

  • Edition Number: 1

  • Number of Pages: 230

  • Number of Illustrations: 27 b/w illustrations

  • Topics: Measure and Integration

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