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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- About this book
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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)
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L ∞-Extremal Mappings in AMLE and Teichmüller Theory
Pages 1-46
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Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear PDEs
Pages 47-94
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Refraction Problems in Geometric Optics
Pages 95-150
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On the Levi Monge-Ampére Equation
Pages 151-208
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Table of contents (4 chapters)
- Download Preface 1 PDF (84.9 KB)
- Download Sample pages 1 PDF (384.7 KB)
- Download Table of contents PDF (43 KB)
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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
-
- Luca Capogna
- Pengfei Guan
- Cristian E. Gutiérrez
- Annamaria Montanari
- Editors
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- 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
- 4 b/w illustrations, 4 illustrations in colour
- Topics