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Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere (1999)

Ding, W. ; Li, J. ; Wang, G. ; [et al.]

Springer

Commentarii mathematici Helvetici 74 (1999), S. 118-142

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ISSN: 1420-8946

Keywords: Key words. Ginzburg-Landau functional, $\phi^6$ theory, Moser-Trudinger inequality, Nirenberg problem, phase transition, Chern-Simons Higgs theory.

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract. We consider a Ginzburg-Landau type functional on S 2 with a 6 th order potential and the corresponding selfduality equations. We study the limiting behavior in the two vortex case when a coupling parameter tends to zero. This two vortex case is a limiting case for the Moser inequality, and we correspondingly detect a rich and varied asymptotic behavior depending on the position of the vortices. We exploit analogies with the Nirenberg problem for the prescribed Gauss curvature equation on S 2.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/s000140050079

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