The Monge-Ampere Equation

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The Monge-Ampère equation has attracted considerable interest in recent years because of its important role in several areas of applied mathematics. Monge-Ampère type equations have applications in the areas of differential geometry, the calculus of variations, and several optimization problems, such as the Monge-Kantorovitch mass transfer problem. This book stresses the geometric aspects of this beautiful theory, using techniques from harmonic analysis – covering lemmas and set decompositions.

Author(s): Cristian E. Gutierrez
Series: Progress in Nonlinear Differential Equations and Their Applications
Edition: 1
Publisher: Birkhäuser Boston
Year: 2001

Language: English
Pages: 137