AN ANALYSIS OF THE 2-VORTEX CASE IN THE CHERN-SIMONS HIGGS-MODEL

Citation
Wy. Ding et al., AN ANALYSIS OF THE 2-VORTEX CASE IN THE CHERN-SIMONS HIGGS-MODEL, Calculus of variations and partial differential equations, 7(1), 1998, pp. 87-97
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
09442669
Volume
7
Issue
1
Year of publication
1998
Pages
87 - 97
Database
ISI
SICI code
0944-2669(1998)7:1<87:AAOT2C>2.0.ZU;2-7
Abstract
Extending work of Caffarelli-Yang and Tarantello, we present a variati onal existence proof for two-vortex solutions of the periodic Chern-Si mons Higgs model and analyze the asymptotic behavior of these solution s as the parameter coupling the gauge field with the scalar field tend s to 0.