AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Weakly differentiable mappings between manifolds
About this Title
Piotr Hajłasz, Tadeusz Iwaniec, Jan Malý and Jani Onninen
Publication: Memoirs of the American Mathematical Society
Publication Year:
2008; Volume 192, Number 899
ISBNs: 978-0-8218-4079-5 (print); 978-1-4704-0505-2 (online)
DOI: https://doi.org/10.1090/memo/0899
MathSciNet review: 2357085
MSC: Primary 42-02; Secondary 42B30, 46E35, 47H11, 58D15, 74B20
Table of Contents
Chapters
- 1. Introduction
- 2. Preliminaries concerning manifolds
- 3. Examples
- 4. Some classes of functions
- 5. Smooth approximation
- 6. $\mathcal {L}^1$-estimates of the Jacobian
- 7. $\mathcal {H}^1$-estimates
- 8. Degree theory
- 9. Mappings of finite distortion