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The Monge-Ampère Equation and Its A...

Figalli, Alessio,

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The Monge-Ampère Equation and Its Applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	The Monge-Ampère Equation and Its Applications/ Alessio Figalli
Author:	Figalli, Alessio,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2017,
Description:	1 online resource (210 pages)
Subject:	Differential equations -
Online resource:	https://doi.org/10.4171/170
Online resource:	https://www.ems-ph.org/img/books/figalli_mini.jpg
ISBN:	9783037196700

The Monge-Ampère Equation and Its Applications
Figalli, Alessio,

The Monge-Ampère Equation and Its Applications[electronic resource] /Alessio Figalli - Zuerich, Switzerland :European Mathematical Society Publishing House,2017 - 1 online resource (210 pages) - Zurich Lectures in Advanced Mathematics (ZLAM).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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.

ISBN: 9783037196700

Standard No.: 10.4171/170doiSubjects--Topical Terms:

704075
Differential equations

The Monge-Ampère Equation and Its Applications
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520 $a 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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