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The Monge―Ampère Equation (Progress in Nonlinear Differential Equations and Their Applications) - Hardcover

 
9780817641771: The Monge―Ampère Equation (Progress in Nonlinear Differential Equations and Their Applications)

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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 â covering lemmas and set decompositions.

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