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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

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  • © 2009

Overview

Authors:
  1. Matthew J. Gursky

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

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  2. Ermanno Lanconelli

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

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  3. Andrea Malchiodi

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

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  4. Gabriella Tarantello

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

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  5. Xu-Jia Wang

    1. School of Mathematical Sciences, Australian National University, Canberra, Australia

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  6. Paul C. Yang

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

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Editors:
  1. Sun-Yung Alice Chang

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

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  2. Antonio Ambrosetti

    1. Department of Mathematics, SISSA, Trieste, Italy

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  3. Andrea Malchiodi

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

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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
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  2. PDEs in Conformal Geometry

    • Matthew J. Gursky
    Pages 1-33

  3. Heat Kernels in Sub-Riemannian Settings

    • Ermanno Lanconelli
    Pages 35-61

  4. Concentration of Solutions for Some Singularly Perturbed Neumann Problems

    • Andrea Malchiodi
    Pages 63-115

  5. On Some Elliptic Problems in the Study of Selfdual Chern-Simons Vortices

    • Gabriella Tarantello
    Pages 117-175

  6. The k-Hessian Equation

    • Xu-Jia Wang
    Pages 177-252

  7. Minimal Surfaces in CR Geometry

    • Paul Yang
    Pages 253-273

  8. Back Matter

    Pages 1-14
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Keywords

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

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