Reifenberg Parameterizations for Sets with Holes.
David, Guy.
Reifenberg Parameterizations for Sets with Holes. - 1st ed. - 1 online resource (114 pages) - Memoirs of the American Mathematical Society ; v.215 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Chapter 1. Introduction -- Chapter 2. Coherent families of balls and planes -- Chapter 3. A partition of unity -- Chapter 4. Definition of a mapping f on 0 -- Chapter 5. Local Lipschitz graph descriptions of the k -- Chapter 6. Reifenberg-flatness of the image -- Chapter 7. Distortion estimates for Dk -- Chapter 8. Hölder and Lipschitz properties of f on 0 -- Chapter 9. C2-regularity of the k and fields of linear isometries defined on 0 -- Chapter 10. The definition of g on the whole Rn -- Chapter 11. Hölder and Lipschitz properties of g on Rn -- Chapter 12. Variants of the Reifenberg theorem -- Chapter 13. Local lower-Ahlfors regularity and a better sufficient bi-Lipschitz condition -- Chapter 14. Big pieces of bi-Lipschitz images and approximation by bi-Lipschitz domains -- Chapter 15. Uniform rectifiability and Ahlfors-regular Reifenberg-flat sets -- Bibliography.
9780821885178
Measure theory.
Minimal surfaces.
Calculus of variations.
Electronic books.
QA312 -- .D385 2011eb
515/.42
Reifenberg Parameterizations for Sets with Holes. - 1st ed. - 1 online resource (114 pages) - Memoirs of the American Mathematical Society ; v.215 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Chapter 1. Introduction -- Chapter 2. Coherent families of balls and planes -- Chapter 3. A partition of unity -- Chapter 4. Definition of a mapping f on 0 -- Chapter 5. Local Lipschitz graph descriptions of the k -- Chapter 6. Reifenberg-flatness of the image -- Chapter 7. Distortion estimates for Dk -- Chapter 8. Hölder and Lipschitz properties of f on 0 -- Chapter 9. C2-regularity of the k and fields of linear isometries defined on 0 -- Chapter 10. The definition of g on the whole Rn -- Chapter 11. Hölder and Lipschitz properties of g on Rn -- Chapter 12. Variants of the Reifenberg theorem -- Chapter 13. Local lower-Ahlfors regularity and a better sufficient bi-Lipschitz condition -- Chapter 14. Big pieces of bi-Lipschitz images and approximation by bi-Lipschitz domains -- Chapter 15. Uniform rectifiability and Ahlfors-regular Reifenberg-flat sets -- Bibliography.
9780821885178
Measure theory.
Minimal surfaces.
Calculus of variations.
Electronic books.
QA312 -- .D385 2011eb
515/.42