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Fully Nonlinear PDEs in Real and Complex Geometry and Optics: Cetraro, Italy 2012, Editors: Cristian E. Gutiérrez, Ermanno Lanconelli: Lecture Notes in Mathematics, cartea 2087

Autor Luca Capogna, Pengfei Guan, Cristian E. Gutiérrez, Annamaria Montanari Ermanno Lanconelli
en Limba Engleză Paperback – 21 oct 2013
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.
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Specificații

ISBN-13: 9783319009414
ISBN-10: 3319009419
Pagini: 224
Ilustrații: XI, 210 p. 8 illus., 4 illus. in color.
Dimensiuni: 155 x 235 x 17 mm
Greutate: 0.32 kg
Ediția:2014
Editura: Springer International Publishing
Colecția Springer
Seriile Lecture Notes in Mathematics, C.I.M.E. Foundation Subseries

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

Introduction.- L∞ extremal mappings in AMLE and Teichmüller theory.- Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear Pde’s.- Refraction Problems In Geometric Optics.- On the Levi Monge-Ampère equation.

Textul de pe ultima copertă

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.

Caracteristici

Includes supplementary material: sn.pub/extras