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  • © 2014

Fully Nonlinear PDEs in Real and Complex Geometry and Optics

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

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

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

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xi
  2. Refraction Problems in Geometric Optics

    • Cristian E. Gutiérrez
    Pages 95-150
  3. On the Levi Monge-Ampére Equation

    • 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.

Keywords

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

Authors and Affiliations

  • Department of Mathematical Sciences, Stratton Hall, Worcester Polytechnic Institute, Worcester, USA

    Luca Capogna

  • Mathematics and Statistics, McGill University, Montreal, Canada

    Pengfei Guan

  • Temple University Department of Mathematics, Philadelphia, USA

    Cristian E. Gutiérrez

  • Matematica, Università di Bologna, Bologna, Italy

    Annamaria Montanari

Bibliographic Information

  • Book Title: Fully Nonlinear PDEs in Real and Complex Geometry and Optics

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

  • Authors: Luca Capogna, Pengfei Guan, Cristian E. Gutiérrez, Annamaria Montanari

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-00942-1

  • Publisher: Springer Cham

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

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Softcover ISBN: 978-3-319-00941-4Published: 21 October 2013

  • eBook ISBN: 978-3-319-00942-1Published: 07 October 2013

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XI, 210

  • Number of Illustrations: 4 b/w illustrations, 4 illustrations in colour

  • Topics: Differential Equations, Classical Electrodynamics

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions