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Partial Differential Equations and Geometric Measure Theory

Cetraro, Italy 2014

  • Alessio Figalli
  • Ireneo Peral
  • Enrico Valdinoci
  • Alberto Farina
  • Enrico Valdinoci
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 2211)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2211)

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

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