© 2009

Geometric Analysis and PDEs

  • Sun-Yung Alice Chang
  • Antonio Ambrosetti
  • Andrea Malchiodi

Part of the Lecture Notes in Mathematics book series (LNM, volume 1977)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 1977)

Table of contents

  1. Front Matter
    Pages 1-12
  2. Matthew J. Gursky
    Pages 1-33
  3. Ermanno Lanconelli
    Pages 35-61
  4. Xu-Jia Wang
    Pages 177-252
  5. Paul Yang
    Pages 253-273
  6. Back Matter
    Pages 1-14

About this book


This volume contains lecture notes on some topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics. The presentation of the material should be rather accessible to non-experts in the field, since the presentation is didactic in nature. The reader will be provided with a survey containing some of the most exciting topics in the field, with a series of techniques used to treat such problems.


concentration phenomena fully nonlinear equations geometric analysis mathematical physics partial differential equation selfdual Chern-Simons vortices subelliptic equations

Authors and affiliations

  1. 1.Dept. MathematicsUniversity of Notre DameNotre DameU.S.A.
  2. 2.Dipto. MatematicaUniversità di BolognaBolognaItaly
  3. 3.Studi Avanzati (SISSA)Scuola Internazionale Superiore diTriesteItaly
  4. 4.Dipto. MatematicaUniversità di Roma - Tor VergataRomaItaly
  5. 5.School of Mathematical SciencesAustralian National UniversityCanberraAustralia
  6. 6.Dept. MathematicsPrinceton UniversityPrincetonU.S.A.

Editors and affiliations

  • Sun-Yung Alice Chang
    • 1
  • Antonio Ambrosetti
    • 2
  • Andrea Malchiodi
    • 3
  1. 1.Dept. MathematicsPrinceton UniversityPrincetonU.S.A.
  2. 2.Department of MathematicsSISSATriesteItaly
  3. 3.Studi Avanzati (SISSA)Scuola Internazionale Superiore diTriesteItaly

Bibliographic information

  • Book Title Geometric Analysis and PDEs
  • Authors Matthew J. Gursky
    Ermanno Lanconelli
    Andrea Malchiodi
    Gabriella Tarantello
    Xu-Jia Wang
    Paul C. Yang
  • Editors Antonio Ambrosetti
    Sun-Yung Alice Chang
    Andrea Malchiodi
  • Series Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-3-642-01673-8
  • eBook ISBN 978-3-642-01674-5
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages XII, 256
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
    Partial Differential Equations
    Mathematical Methods in Physics
  • Buy this book on publisher's site
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