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Table of contents

About this book

Introduction

This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory.  It features a wide variety of research topics in which a crucial role is played by the interaction of fine analytic techniques and deep geometric observations, combining the intuitive and geometric aspects of mathematics with analytical ideas and variational methods.  The problems addressed are challenging and complex, and often require the use of several refined techniques to overcome the major difficulties encountered.  The lectures, given during the course "Partial Differential Equations and Geometric Measure Theory'' in Cetraro, June 2–7, 2014, should help to encourage further research in the area.  The enthusiasm of the speakers and the participants of this CIME course is reflected in the text.

Keywords

Partial Differential Equations Calculus of Variations Integro-differential Equations Geometric Measure Theory Applications

Authors and affiliations

  • Alessio Figalli
    • 1
  • Ireneo Peral
    • 2
  • Enrico Valdinoci
    • 3
  1. 1.Department of MathematicsETH ZurichZurichSwitzerland
  2. 2.Departamento de MatemáticasUniversidad Autónoma de MadridMadridSpain
  3. 3.Dipartimento di MatematicaUniversità di MilanoMilanoItaly

Editors and affiliations

  • Alberto Farina
    • 1
  • Enrico Valdinoci
    • 2
  1. 1.LAMFAUniversity of Picardie at AmiensAmiensFrance
  2. 2.Dipartimento di MatematicaUniversita' di MilanoMilanoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-74042-3
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-74041-6
  • Online ISBN 978-3-319-74042-3
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site