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The Monge-Ampère equation and its applications

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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 that contains 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. A publication of the European Mathematical Society (EMS). Distributed within the Americas [...]by the American Mathematical Society
Request Code : ZLIB.IO17447304
Categories:
Year:
2022
Publisher:
European mathematical society City: Zürich
Language:
English
ISBN 10:
3037191708
ISBN 13:
9783037191705
ISBN:
3037191708, 9783037191705
Series:
Zurich Lectures in Advanced Mathematics

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