An Introduction to Γ-Convergence

Inhaltsverzeichnis

• 1. The direct method in the calculus of variations.
• 2. Minimum problems for integral functionals.
• 3. Relaxation.
• 4. ?-convergence and K-convergence.
• 5. Comparison with pointwise convergence.
• 6. Some properties of ?-limits.
• 7. Convergence of minima and of minimizers.
• 8. Sequential characterization of ?-limits.
• 9. ?-convergence in metric spaces.
• 10. The topology of ?-convergence.
• 11. ?-convergence in topological vector spaces.
• 12. Quadratic forms and linear operators.
• 13. Convergence of resolvents and G-convergence.
• 14. Increasing set functions.
• 15. Lower semicontinuous increasing functionals.
• 16. $$ \bar{\Gamma } $$-convergence of increasing set functional.
• 17. The topology of $$ \bar{\Gamma } $$-convergence.
• 18. The fundamental estimate.
• 19. Local functionals and the fundamental estimate.
• 20. Integral representation of ?-limits.
• 21. Boundary conditions.
• 22. G-convergence of elliptic operators.
• 23. Translation invariant functional.
• 24. Homogenization.
• 25. Some examples in homogenization.
• Guide to the literature.