C.I.M.E. Foundation Subseries

Fully Nonlinear PDEs in Real and Complex Geometry and Optics

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

Authors: Capogna, L., Guan, P., Gutiérrez, C.E., Montanari, A.

Editors: Lanconelli, Ermanno, Gutiérrez, Cristian E. (Eds.)

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  • ISBN 978-3-319-00942-1
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  • ISBN 978-3-319-00941-4
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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.

Table of contents (4 chapters)

  • L ∞-Extremal Mappings in AMLE and Teichmüller Theory

    Capogna, Luca

    Pages 1-46

  • Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear PDEs

    Guan, Pengfei

    Pages 47-94

  • Refraction Problems in Geometric Optics

    Gutiérrez, Cristian E.

    Pages 95-150

  • On the Levi Monge-Ampére Equation

    Montanari, Annamaria

    Pages 151-208

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-00942-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-00941-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

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
Editors
  • Ermanno Lanconelli
  • Cristian E. Gutiérrez
Series Title
C.I.M.E. Foundation Subseries
Series Volume
2087
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-00942-1
DOI
10.1007/978-3-319-00942-1
Softcover ISBN
978-3-319-00941-4
Edition Number
1
Number of Pages
XI, 210
Number of Illustrations and Tables
4 b/w illustrations, 4 illustrations in colour
Topics