The Monge-Ampère equation and its applications /

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Bibliographic Details
Author / Creator:	Figalli, Alessio, author.
Imprint:	Zürich : European Mathematical Society, [2017] ©2017 Z�urich : European Mathematical Society, [2017]
Description:	1 online resource (x, 200 pages) : illustrations.
Language:	English
Series:	Zurich lectures in advanced mathematics Zurich lectures in advanced mathematics.
Subject:	Monge-Ampère equations. Differential equations, Partial. Geometry, Differential. Mathematical physics. Differential equations, Partial. Geometry, Differential. Mathematical physics. Monge-Ampère equations. Electronic book.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11549100

Hidden Bibliographic Details
ISBN:	9783037196700 303719670X 9783037191705 3037191708
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (EBSCO, viewed February 22, 2017).
Summary:	The Monge-Ampère equation is one of the most important partial differential equations, appearing in many problems in analysis and geometry. This monograph is a comprehensive introduction to the existence and regularity theory of the Monge-Ampère equation and some selected applications; the main goal is to provide the reader with a wealth of results and techniques he or she can draw from to understand current research related to this beautiful equation. The presentation is essentially self-contained, with an appendix wherein one can find precise statements of all the results used from different areas (linear algebra, convex geometry, measure theory, nonlinear analysis, and PDEs). This book is intended for graduate students and researchers interested in nonlinear PDEs: explanatory figures, detailed proofs, and heuristic arguments make this book suitable for self-study and also as a reference.

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