Nonlinear Potential Theory of Degenerate Elliptic Equations

Publisher:

Dover Publications

Publication Date:

2006

Number of Pages:

404

Format:

Paperback

Price:

19.95

ISBN:

9789486450506

Category:

Monograph

We do not plan to review this book.

Introduction
1. Weighted Sobolev spaces
2. Capacity
3. Supersolutions and the obstacle problem
4. Refined Sobolev spaces
5. Variational integrals
6. Harmonic functions
7. Superharmonic functions
8. Balayage
9. Perron's method, barriers, and resolutivity
10. Polar sets
11. Harmonic measure
12. Fine topology
13. Harmonic morphisms
14. Quasiregular mappings
15. Ap-weights and Jacobians of quasiconformal mappings
16. Axiomatic nonlinear potential theory
17. Appendix I: The existence of solutions
18. Appendix II: The John-Nirenberg lemma
Bibliography
List of symbols
Index