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Direct Methods in the Calculus of Variations

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Cover of 'Direct Methods in the Calculus of Variations'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Convex sets and convex functions
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    Chapter 3 Lower semicontinuity and existence theorems
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    Chapter 4 The one dimensional case
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    Chapter 5 Polyconvex, quasiconvex and rank one convex functions
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    Chapter 6 Polyconvex, quasiconvex and rank one convex envelopes
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    Chapter 7 Polyconvex, quasiconvex and rank one convex sets
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    Chapter 8 Lower semi continuity and existence theorems in the vectorial case
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    Chapter 9 Relaxation theorems
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    Chapter 10 Implicit partial differential equations
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    Chapter 11 Existence of minima for non-quasiconvex integrands
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    Chapter 12 Function spaces
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    Chapter 13 Singular values
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    Chapter 14 Some underdetermined partial differential equations
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    Chapter 15 Extension of Lipschitz functions on Banach spaces
Attention for Chapter 13: Singular values
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