The Monge-Ampère equation and its applications [[electronic resource] /] / Alessio Figalli

• Autore: Figalli Alessio
• Pubblicazione: Zuerich, Switzerland, : European Mathematical Society Publishing House, 2017
• Descrizione fisica: 1 online resource (210 pages)
• Disciplina: 515.353
• Soggetto topico: Differential equations; Differential & Riemannian geometry; Partial differential equations; Differential geometry
• Classificazione: 35-xx53-xx
• Nota di contenuto: Introduction -- Alexandrov solutions -- Smooth solutions -- Interior regularity of weak solutions -- Further results and extensions
• Sommario/riassunto: 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.
• Titolo autorizzato: Monge-Ampère equation and its applications
• ISBN: 3-03719-670-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910155397003321
• Lo trovi qui: Univ. Federico II