The Generalised Energy Identity and Length of Necks for $$\varepsilon $$-Harmonic Maps
Abstract
Abstract In this paper we find analogues for $$\varepsilon $$ ε -harmonic maps to the generalised energy identity and the existence of geodesic necks result discovered by Yuxiang Li and Youde Wang for $$\alpha $$ α -harmonic maps. In particular there exist specific quantities depending only on $$\varepsilon $$ ε and the bubbling radius which entirely determine if the full energy identity holds and if a neck forms. In the case these fail we can calculate the energy lost and the length of the geodesic neck based on only these quantities and the biharmonic energy of the bubble.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Nonlinear Partial Differential Equations
Advanced Differential Geometry Research
Publication details
- Journal / source
- Journal of Geometric Analysis
- Volume
- 36
- Issue
- 11
- Pages
- 365–365
- Publication date
- 22 September 2026
- Language
- EN