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Minimal Surfaces and Functions of Bounded Variation

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Cover of 'Minimal Surfaces and Functions of Bounded Variation'

Table of Contents

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    Book Overview
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    Chapter 1 Functions of Bounded Variation and Caccioppoli Sets
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    Chapter 2 Traces of BV Functions
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    Chapter 3 The Reduced Boundary
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    Chapter 4 Regularity of the Reduced Boundary
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    Chapter 5 Some Inequalities
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    Chapter 6 Approximation of Minimal Sets (I)
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    Chapter 7 Approximation of Minimal Sets(II)
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    Chapter 8 Regularity of Minimal Surfaces
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    Chapter 9 Minimal Cones
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    Chapter 10 The First and Second Variation of the Area
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    Chapter 11 The Dimension of the Singular Set
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    Chapter 12 Classical Solutions of the Minimal Surface Equation
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    Chapter 13 The a priori Estimate for the Gradient
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    Chapter 14 Direct Methods
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    Chapter 15 Boundary Regularity
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    Chapter 16 A Further Extension of the Notion of Non-Parametric Minimal Surface
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    Chapter 17 The Bernstein Problem
Attention for Chapter 3: The Reduced Boundary
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