An Introduction to Γ-Convergence

Table of Contents

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   Book Overview
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   Chapter 1 Introduction
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   Chapter 2 The Direct Method in the Calculus of Variations
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   Chapter 3 Minimum Problems for Integral Functionals
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   Chapter 4 Relaxation
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   Chapter 5 Γ-convergence and K-convergence
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   Chapter 6 Comparison with Pointwise Convergence
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   Chapter 7 Some Properties of Γ-limits
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   Chapter 8 Convergence of Minima and of Minimizers
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    Chapter 9 Sequential Characterization of Γ-limits
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    Chapter 10 Γ-convergence in Metric Spaces
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    Chapter 11 The Topology of Γ-convergence
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    Chapter 12 Γ-Convergence in Topological Vector Spaces
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    Chapter 13 Quadratic Forms and Linear Operators
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    Chapter 14 Convergence of Resolvents and G-convergence
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    Chapter 15 Increasing Set Functions
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    Chapter 16 Lower Semicontinuous Increasing Functionals
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    Chapter 17 $$ \bar{\Gamma } $$ -convergence of Increasing Functionals
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    Chapter 18 The Topology of $$ \bar{\Gamma } $$ -convergence
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    Chapter 19 The Fundamental Estimate
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    Chapter 20 Local Functionals and the Fundamental Estimate
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    Chapter 21 Integral Representation of Γ-limits
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    Chapter 22 Boundary Conditions
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    Chapter 23 G-convergence of Elliptic Operators
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    Chapter 24 Translation Invariant Functionals
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    Chapter 25 Homogenization
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    Chapter 26 Some Examples in Homogenization