The Monge-Ampère equation and its applications / Alessio Figalli
Type de document : MonographieCollection : Zurich lectures in advanced mathematicsLangue : anglais.Pays: Swisse.Éditeur : Zurich : European Mathematical Society, cop. 2017Description : 1 vol. (X-200 p.) : ill. ; 24 cmISBN: 9783037191705.Bibliographie : Bibliogr. p. [191]-198. Index.Sujet MSC : 35J96, PDEs - Elliptic equations and elliptic systems, Monge-Ampère equations35J60, PDEs - Elliptic equations and elliptic systems, Nonlinear elliptic equations
35J66, PDEs - Elliptic equations and elliptic systems, Nonlinear boundary value problems for nonlinear elliptic equations
35B65, Qualitative properties of solutions to partial differential equations, Smoothness and regularity of solutions to PDEs
53C45, Global differential geometry, Global surface theory (convex surfaces à la A. D. Aleksandrov)En-ligne : MSN | zbMath | EMS
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 1 | 35 FIG (Browse shelf(Opens below)) | Available | 12573-01 |
Publisher’s description: 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.
Bibliogr. p. [191]-198. Index
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