Geometric Analysis and PDEs

  • Matthew J. Gursky
  • Ermanno Lanconelli
  • Andrea Malchiodi
  • Gabriella Tarantello
  • Xu-Jia Wang
  • Paul C. Yang
  • 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

Introduction

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.

Keywords

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

Authors and affiliations

  • Matthew J. Gursky
    • 1
  • Ermanno Lanconelli
    • 2
  • Andrea Malchiodi
    • 3
  • Gabriella Tarantello
    • 4
  • Xu-Jia Wang
    • 5
  • Paul C. Yang
    • 6
  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

  • DOI https://doi.org/10.1007/978-3-642-01674-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-01673-8
  • Online ISBN 978-3-642-01674-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book