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  • © 2019

Contemporary Research in Elliptic PDEs and Related Topics

Editors:

  • Includes quality contributions in fundamental fields of research
  • Accessible to PhD students and early career researchers
  • Written by high-impact authors with outstanding research records

Part of the book series: Springer INdAM Series (SINDAMS, volume 33)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-ix
  2. Getting Acquainted with the Fractional Laplacian

    • Nicola Abatangelo, Enrico Valdinoci
    Pages 1-105
  3. Dirichlet Problems for Fully Nonlinear Equations with “Subquadratic” Hamiltonians

    • Isabeau Birindelli, Françoise Demengel, Fabiana Leoni
    Pages 107-127
  4. Monotonicity Formulas for Static Metrics with Non-zero Cosmological Constant

    • Stefano Borghini, Lorenzo Mazzieri
    Pages 129-202
  5. Introduction to Controllability of Nonlinear Systems

    • Ugo Boscain, Mario Sigalotti
    Pages 203-219
  6. Harnack and Pointwise Estimates for Degenerate or Singular Parabolic Equations

    • Fatma Gamze Düzgün, Sunra Mosconi, Vincenzo Vespri
    Pages 301-368
  7. Lectures on Curvature Flow of Networks

    • Carlo Mantegazza, Matteo Novaga, Alessandra Pluda
    Pages 369-417
  8. Singularities in the Calculus of Variations

    • Connor Mooney
    Pages 457-480

About this book

This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017. The contributions cover several aspects of partial differential equations whose development in recent years has experienced major breakthroughs in terms of both theory and applications. The topics covered include nonlocal equations, elliptic equations and systems, fully nonlinear equations, nonlinear parabolic equations, overdetermined boundary value problems, maximum principles, geometric analysis, control theory, mean field games, and bio-mathematics. The authors are trailblazers in these topics and present their work in a way that is exhaustive and clearly accessible to PhD students and early career researcher. As such, the book offers an excellent introduction to a variety of fundamental topics of contemporary investigation and inspires novel and high-quality research.


Editors and Affiliations

  • Dept. of Mathematics and Statistics, University of Western Australia, Crawley, Perth, Australia

    Serena Dipierro

About the editor

Serena Dipierro received her PhD from SISSA (Trieste) in 2012, and she is currently an Associate Professor at the University of Western Australia’s Department of Mathematics and Statistics. Her research interests include partial differential equations, free boundary problems, nonlinear analysis, nonlocal equations, and calculus of variations.


Bibliographic Information

Buy it now

Buying options

eBook USD 44.99 USD 84.99
47% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99 USD 109.99
45% discount Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 59.99 USD 109.99
45% discount Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access