The Existence of Non-Topological Multivortex Solutions in the Relativistic Self-Dual Chern–Simons Theory

By Dongho Chae, Oleg Yu. Imanuvilov. 2000

207 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/fe509ecd918d4256daf37bc5cf448f2a7d92ef3e

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In Applied Mathematics

In Mathematical Physics

In Nuclear and High Energy Physics

Citations in the corpus

Non-Topological Multi-Vortex Solutions to the Self-Dual Chern-Simons-Higgs Equation (2002, background): “If is close to 4π(N + 1), then Chae-Imanuvilov [3] recently proved the existence of non-topological solutions which is obtained from a small perturbation of the corresponding Liouville equation with the same vorticities.”
Profile of Blow-up Solutions to Mean Field Equations with Singular Data (2004, background): “For recent developments on related topics, we refer the reader to Caffarelli and Yang (1995), Chae and Imanuvilov (2000), Chang and Yang (1987), Chen and Lin (2001, 2002, 2003, to appear), Chipot et al. (1997), Ding et al. (1997, 1999), Jost and Wang (2001), Li (1999), Li and Shafrir (1994), Lin…”
Singular limits in Liouville-type equations (2005, background): “In a two-dimensional domain or a compact manifold this type of equation arises in a broad range of applications, in particular in astrophysics and combustion theory, see [10,21,28] and references therein, the prescribed Gaussian curvature problem [23,12,13], mean field limit of vortices in Euler flo”
Concentrating solutions for the Hénon equation in ℝ2 (2006, background): “A Appendix Let us recall the following basic result stated by Chae and Imanuvilov in [6]: for any , there exists a smooth radial solution”
On the existence of blowing-up solutions for a mean field equation ? ? The first and second authors (2005, background): “Perturbative problems with exponential nonlinearities in dimension two seem to be much more difficult dle (beside [5], see also [11,12] and [36]) in contrast to similar problems in higher dimensions.”
Liouville Type Equations with Singular Data¶and Their Applications to Periodic Multivortices¶for the Electroweak Theory (2002, background): “[28, 30, 12, 24]) as discussed in [50, 39, 40, 44, 21, 23] and [41]. See also [ 15 ].”