Vector-Valued Partial Differential Equations and Applications

Cetraro, Italy 2013

  • Bernard Dacorogna
  • Nicola Fusco
  • Stefan Müller
  • Vladimir Sverak
  • John Ball
  • Paolo Marcellini

Part of the Lecture Notes in Mathematics book series (LNM, volume 2179)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2179)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Bernard Dacorogna
    Pages 1-72
  3. Vladimír Šverák
    Pages 195-248
  4. Back Matter
    Pages 249-250

About this book


Collating different aspects of Vector-valued Partial Differential Equations and Applications, this volume is based on the 2013 CIME Course with the same name which took place at Cetraro, Italy, under the scientific direction of John Ball and Paolo Marcellini. It contains the following contributions: The pullback equation (Bernard Dacorogna), The stability of the isoperimetric inequality (Nicola Fusco), Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities (Stefan Müller), and Aspects of PDEs related to fluid flows (Vladimir Sverák). These lectures are addressed to graduate students and researchers in the field.


49-XX,35-XX,35QXX calculus of variations partial differential equations vector-valued mass mathematical analysis mathematical physics

Authors and affiliations

  • Bernard Dacorogna
    • 1
  • Nicola Fusco
    • 2
  • Stefan Müller
    • 3
  • Vladimir Sverak
    • 4
  1. 1.Section de Mathématiques, EPFLLausanneSwitzerland
  2. 2.Dipartimento di Matematica e Applicazioni “R. Caccioppoli”Università degli Studi di Napoli “Federico II”NapoliItaly
  3. 3.Hausdorff Center for Mathematics & Department of Applied MathematicsUniversity of BonnBonnGermany
  4. 4.School of MathematicsUniversity of MinnesotaMinneapolisUSA

Editors and affiliations

  • John Ball
    • 1
  • Paolo Marcellini
    • 2
  1. 1.Mathematical InstituteUniversity of Oxford OxfordUnited Kingdom
  2. 2.Dipartimento di MatematicaUniversità di FirenzeFirenzeItaly

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-54513-4
  • Online ISBN 978-3-319-54514-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book