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Introduction | 1 | |
1 | The direct method in the calculus of variations | 8 |
2 | Minimum problems for integral functionals | 19 |
3 | Relaxation | 28 |
4 | [Gamma]-convergence and K-convergence | 38 |
5 | Comparison with pointwise convergence | 46 |
6 | Some properties of [actual symbol not reproducible]-limits | 53 |
7 | Convergence of minima and of minimizers | 67 |
8 | Sequential characterization of [actual symbol not reproducible]-limits | 86 |
9 | [actual symbol not reproducible]-convergence in metric spaces | 101 |
10 | The topology of [actual symbol not reproducible]-convergence | 111 |
11 | [actual symbol not reproducible]-convergence in topological vector spaces | 126 |
12 | Quadratic forms and linear operators | 133 |
13 | Convergence of resolvents and G-convergence | 148 |
14 | Increasing set functions | 165 |
15 | Lower semicontinuous increasing functionals | 174 |
16 | [actual symbol not reproducible]-convergence of increasing set functionals | 181 |
17 | The topology of [actual symbol not reproducible]-convergence | 189 |
18 | The fundamental estimate | 202 |
19 | Local functionals and the fundamental estimate | 208 |
20 | Integral representation of [Gamma]-limits | 215 |
21 | Boundary conditions | 223 |
22 | G-convergence of elliptic operators | 229 |
23 | Translation invariant functionals | 239 |
24 | Homogenization | 247 |
25 | Some examples in homogenization | 256 |
Guide to the literature | 265 | |
Bibliography | 289 | |
Index | 339 |
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