Year: 2026
Type: article
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.
Source: Journal of Geometric Analysis
Author: Andrew M. Roberts
Institution: University of Leeds
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
OpenAlex ID: W7128686340
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