2. Some fixed point theorems

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Notations x
4. 1. Introduction 1
5. Part I
6. 2. Some fixed point theorems 5
7. 3. Preliminaries of real analysis 13
8. 4. Linear and semilinear elliptic equations 24
9. 5. Nonlinear elliptic equations 37
10. 6. Summability of the solutions 47
11. 7. H2 regularity for linear problems 61
12. 8. Spectral analysis for linear operators 67
13. 9. Calculus of variations and Euler’s equation 84
14. Part II
15. 10. Natural growth problems 105
16. 11. Problems with low summable sources 121
17. 12. Uniqueness 150
18. 13. A problem with polynomial growth 157
19. 14. A problem with degenerate coercivity 166
20. Bibliography 187
21. Index 191