Sobolev Maps to the Circle: From the Perspective of Analysis, Geometry, and Topology

by Haïm Brézis and Petru Mironescu

Lifting in $W {1, p}$.- The Geometry of $J(u)$ and $\Sigma(u)$ in 2D; Point Singularities and Minimal Connections.- The Geometry of $J(u)$ and $\Sigma(u)$ in 3D (and higher); Line Singularities and Minimal Surfaces.- A Digression: Sphere-Valued Maps.- Lifting in Fractional Sobolev Spaces and in $VMO$.- Uniqueness of Lifting and Beyond.- Factorization.- Applications of the Factorization.- Estimates of Phases: Positive and Negative Results.- Density.-...

• Format: Hardcover
• Language: English
• ISBN: 1071615106
• ISBN13: 9781071615102
• Release Date: December 2021
• Publisher: Birkhauser
• Length: 530 Pages
• Weight: 2.12 lbs.
• Dimensions: 1.3" x 6.1" x 9.2"