Fully Nonlinear PDEs in Real and Complex Geometry and Optics

Cetraro, Italy 2012, Editors: Cristian E. Gutiérrez, Ermanno Lanconelli

  • Luca Capogna
  • Pengfei Guan
  • Cristian E. Gutiérrez
  • Annamaria Montanari

Part of the Lecture Notes in Mathematics book series (LNM, volume 2087)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2087)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Cristian E. Gutiérrez
    Pages 95-150
  3. Annamaria Montanari
    Pages 151-208
  4. Back Matter
    Pages 209-212

About this book


The purpose of this CIME summer school was to present current areas of research arising both in the theoretical and applied setting that involve fully nonlinear partial different equations. The equations presented in the school stem from the fields of Conformal Mapping Theory, Differential Geometry, Optics, and Geometric Theory of Several Complex Variables.

The school consisted of four courses: Extremal problems for quasiconformal mappings in space by Luca Capogna, Fully nonlinear equations in geometry by Pengfei Guan, Monge-Ampere type equations and geometric optics by Cristian E. Gutiérrez, and On the Levi Monge Ampere equation by Annamaria Montanari.


Differential geometry Geometric optics Non linear elliptic equations Quasiconformal mappings Several complex variables

Authors and affiliations

  • Luca Capogna
    • 1
  • Pengfei Guan
    • 2
  • Cristian E. Gutiérrez
    • 3
  • Annamaria Montanari
    • 4
  1. 1.Department of Mathematical Sciences, Stratton HallWorcester Polytechnic InstituteWorcesterUSA
  2. 2.Mathematics and StatisticsMcGill UniversityMontrealCanada
  3. 3.Temple University Department of MathematicsPhiladelphiaUSA
  4. 4.MatematicaUniversità di BolognaBolognaItaly

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-00941-4
  • Online ISBN 978-3-319-00942-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site
Industry Sectors
Finance, Business & Banking
Energy, Utilities & Environment