The Monge-Ampère Equation

• Main Author: Gutiérrez, Cristian E. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Edition: 2nd ed. 2016.
• Series: Progress in Nonlinear Differential Equations and Their Applications, 89
• Subjects: Mathematics.; Partial differential equations.; Mathematical physics.; Differential geometry.; Partial Differential Equations.; Differential Geometry.; Mathematical Applications in the Physical Sciences.

Now in its second edition, this monograph explores the Monge-Ampère equation and the latest advances in its study and applications. It provides an essentially self-contained systematic exposition of the theory of weak solutions, including regularity results by L. A. Caffarelli. The geometric aspects...