The Monge-Ampère Equation |
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| Author:
| Gutierrez, Cristian E. |
| Series title: | Progress in Nonlinear Differential Equations and Their Applications Ser. |
| ISBN: | 978-0-8176-4177-1 |
| Publication Date: | May 2001 |
| Publisher: | Birkhäuser Boston
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| Book Format: | Hardback |
| List Price: | USD $169.00 |
Book Description:
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The Monge-Ampére equation has attracted considerable interest in recent years because of its important role in several areas of applied mathematics. Monge-Ampére 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.
The Monge-Ampére equation has attracted considerable interest in recent years because of its important role in several areas of applied mathematics. Monge-Ampére 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.