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An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs

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Cover of 'An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs'

Table of Contents

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    Book Overview
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    Chapter 1 Harmonic functions
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    Chapter 2 Direct methods
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    Chapter 3 Hilbert space methods
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    Chapter 4 L 2 -regularity: The Caccioppoli inequality
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    Chapter 5 Schauder estimates
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    Chapter 6 Some real analysis
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    Chapter 7 L p -theory
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    Chapter 8 The regularity problem in the scalar case
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    Chapter 9 Partial regularity in the vector-valued case
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    Chapter 10 Harmonic maps
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    Chapter 11 A survey of minimal graphs
Attention for Chapter 3: Hilbert space methods
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