Generalized neck analysis of harmonic maps from surfaces

Generalized neck analysis of harmonic maps from surfaces

In this paper, we study the behavior of a sequence of harmonic maps from surfaces with uniformly bounded energy on the generalized neck domain. The generalized neck domain is a union of ghost bubbles and annular neck domains, which connects non-trivial bubbles. An upper bound of the energy density i...

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Veröffentlicht in:Calculus of variations and partial differential equations 2021-06, Vol.60 (3), Article 117
1. Verfasser: Yin, Hao
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Bubbles
Calculus of Variations and Optimal Control
Optimization
Control
Domains
Flux density
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Systems Theory
Theoretical
Upper bounds
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Zusammenfassung:In this paper, we study the behavior of a sequence of harmonic maps from surfaces with uniformly bounded energy on the generalized neck domain. The generalized neck domain is a union of ghost bubbles and annular neck domains, which connects non-trivial bubbles. An upper bound of the energy density is proved and we use it to study the limit of the nullity and index of the sequence.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-021-01978-8