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Includes supplementary material: sn.pub/extras
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)
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Front Matter
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Back Matter
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
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Department of Mathematical Sciences, Stratton Hall, Worcester Polytechnic Institute, Worcester, USA
Luca Capogna
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Mathematics and Statistics, McGill University, Montreal, Canada
Pengfei Guan
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Temple University Department of Mathematics, Philadelphia, USA
Cristian E. Gutiérrez
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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