Nonlinear potential theory of degenerate elliptic equations / Juha Heinonen, Tero Kilpeläinen, Olli Martio ; preface to the Dover Edition by the Authors.
Material type: TextLanguage: English Publication details: Mineola, NY : Dover Publications, 2006, 1993.Edition: Dover edDescription: xi, 404 p. ; 22 cmISBN:- 0486450503 (pbk.)
- 9780486450506
- 515.96 22 HEI
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Rev. ed. of: Oxford ; New York : Clarendon Press ; New York : Oxford University Press, 1993.
Chapter 1. Weighted Sobolev Spaces;
Chapter 2. Capacity; Chapter 3. Supersolutions and the Obstacle Problem; Chapter 4. Refined Sobolev Spaces; Chapter 5. Variational Integrals; Chapter 6. A-Harmonic Functions; Chapter 7. A-Superharmonic Functions; Chapter 8. Balayage; Chapter 9. Perron's method, Barriers, and Resolutivity; Chapter 10. Polar Sets; Chapter 11. A-Harmonic Measure; Chapter 12. Fine Topology; Chapter 13. Harmonic Morphisms; Chapter 14. Quasiregular Mappings. Chapter 15. Ap-Weights and Jacobians of Quasiconformal Mappings Chapter 16. Axiomatic Nonlinear Potential Theory; Chapter 17. Appendix I: The Existence of Solutions; Chapter 18. Appendix II: The John-Nirenberg Lemma; Chapter 19. The John-Nirenberg Lemma; Chapter 20. Admissible Weights; Chapter 21. The Riesz Measure of an A-Superharmonic Function; Chapter 22. Generalizations;
Includes bibliographical references (p. 342-355, 398-404) and index.
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