Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

Cetraro, Italy 2016

  • José Antonio Carrillo
  • Manuel del Pino
  • Alessio Figalli
  • Giuseppe Mingione
  • Juan Luis Vázquez
  • Matteo Bonforte
  • Gabriele Grillo

Part of the Lecture Notes in Mathematics book series (LNM, volume 2186)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2186)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Vincent Calvez, José Antonio Carrillo, Franca Hoffmann
    Pages 1-71
  3. Giuseppe Mingione
    Pages 159-204
  4. Back Matter
    Pages 279-280

About this book


Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, this book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems. The authors are some of the most well-known mathematicians in this innovative field, which is presently undergoing rapid development. The intended audience includes experts in elliptic and parabolic equations who are interested in extending their expertise to the nonlinear setting, as well as Ph.D. or postdoctoral students who want to enter into the most promising research topics in the field.


Nonlinear evolutions Nonlocal evolutions aggregation-diffusion equations Keller-Segel model of chemotaxis Bubbling blow-up Local and nonlocal minimal surfaces Nonlinear potential theory

Authors and affiliations

  • José Antonio Carrillo
    • 1
  • Manuel del Pino
    • 2
  • Alessio Figalli
    • 3
  • Giuseppe Mingione
    • 4
  • Juan Luis Vázquez
    • 5
  1. 1.Department of MathematicsImperial College LondonLondonUnited Kingdom
  2. 2.Departamento de Ingeniería MatemáticaUniversidad de ChileSantiagoChile
  3. 3.Department of MathematicsETH ZürichZürichSwitzerland
  4. 4.Dipartimento di MatematicaUniversità di ParmaParmaItaly
  5. 5.Departamento de MatemáticasUniversidad Autónoma de MadridMadridSpain

Editors and affiliations

  • Matteo Bonforte
    • 1
  • Gabriele Grillo
    • 2
  1. 1.Departamento de MatemáticasUniversidad Autónoma de MadridMadridSpain
  2. 2.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-61493-9
  • Online ISBN 978-3-319-61494-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site