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The Monge-Ampère Equation

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Cover of 'The Monge-Ampère Equation'

Table of Contents

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    Book Overview
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    Chapter 1 Generalized Solutions to Monge–Ampère Equations
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    Chapter 2 Uniformly Elliptic Equations in Nondivergence Form
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    Chapter 3 The Cross-Sections of Monge–Ampère
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    Chapter 4 Convex Solutions of det D 2 u = 1 in ℝ n
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    Chapter 5 Regularity Theory for the Monge–Ampère Equation
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    Chapter 6 W 2,  p Estimates for the Monge–Ampère Equation
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    Chapter 7 The Linearized Monge–Ampère Equation
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    Chapter 8 Interior Hölder Estimates for Second Derivatives
Attention for Chapter 4: Convex Solutions of det D 2 u = 1 in ℝ n
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