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Radial symmetry of topological solutions in the self-dual Maxwell-Chern-Simons gauged $O(3)$ sigma model

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초록

Using the moving plane method, we establish the radial symmetry of topological one-vortex solutions of a semilinear elliptic system arising from the self-dual Maxwell-Chern-Simons $O(3)$ model.

Abstract

Using the moving plane method, we establish the radial symmetry of topological one-vortex solutions of a semilinear elliptic system arising from the self-dual Maxwell-Chern-Simons $O(3)$ model.

참고문헌 (9)

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  2. F. Chiacchio, "Multiple vortices for a self-dual CP(1) Maxwell-Chern-Simons model", NoDEA Nonlinear Differential Equations Appl, 13(5), pp.563~584 (2007)
  3. Jongmin Han, "Radial symmetry of topological one-vortex solutions in the Maxwell-Chern-Simons-Higgs model", 대한수학회논문집, 19(2), pp.283~291 (2004), 대한수학회
  4. J. Han, "On the topological multivortex solutions of the self-dual Maxwell-Chern-Simons gauged O(3) sigma model", Lett. Math. Phys, 73(1), pp.17~31 (2005)
  5. J. Han, "Existence and asymptotics of topological solutions in the self-dual Maxwell-Chern-Simons O(3) sigma model", JOURNAL OF DIFFERENTIAL EQUATIONS, 250(1), pp.204~222 (2011), Elsevier
  6. K. Kimm, "Anyonic Bogomol'nyi solitons in a gauged O(3) sigma model", Phys. Rev. D, 53, pp.4436~4440 (1996)
  7. T. Ricciardi, "On a nonlinear elliptic system from Maxwell-Chern-Simons vortex theory", Asymptot. Anal, 35(2), pp.113~126 (2003)
  8. T. Ricciardi, "Multiplicity for a nonlinear fourth-order elliptic equation in Maxwell-Chern- Simons vortex theory", Differential Integral Equations, 17(3), pp.369~390 (2004)
  9. T. Ricciardi, "Vortices in the Maxwell-Chern-Simons theory", Comm. Pure Appl. Math, 53(7), pp.811~851 (2000)

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