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Geometric Analysis and PDEs

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11-16, 2007

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

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (6 chapters)

  1. Front Matter

    Pages 1-12
  2. PDEs in Conformal Geometry

    • Matthew J. Gursky
    Pages 1-33
  3. Heat Kernels in Sub-Riemannian Settings

    • Ermanno Lanconelli
    Pages 35-61
  4. The k-Hessian Equation

    • Xu-Jia Wang
    Pages 177-252
  5. Minimal Surfaces in CR Geometry

    • 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.

Authors, Editors and Affiliations

  • Dept. Mathematics, Princeton University, Princeton, U.S.A.

    Sun-Yung Alice Chang, Paul C. Yang

  • Department of Mathematics, SISSA, Trieste, Italy

    Antonio Ambrosetti

  • Studi Avanzati (SISSA), Scuola Internazionale Superiore di, Trieste, Italy

    Andrea Malchiodi, Andrea Malchiodi

  • Dept. Mathematics, University of Notre Dame, Notre Dame, U.S.A.

    Matthew J. Gursky

  • Dipto. Matematica, Università di Bologna, Bologna, Italy

    Ermanno Lanconelli

  • Dipto. Matematica, Università di Roma - Tor Vergata, Roma, Italy

    Gabriella Tarantello

  • School of Mathematical Sciences, Australian National University, Canberra, Australia

    Xu-Jia Wang

Bibliographic Information

  • Book Title: Geometric Analysis and PDEs

  • Book Subtitle: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11-16, 2007

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

  • Editors: Sun-Yung Alice Chang, Antonio Ambrosetti, Andrea Malchiodi

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-01674-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2009

  • Softcover ISBN: 978-3-642-01673-8Published: 26 June 2009

  • eBook ISBN: 978-3-642-01674-5Published: 31 July 2009

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 256

  • Topics: Analysis, Partial Differential Equations, Mathematical Methods in Physics

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access