The analysis of solutions for Maxwell–Chern–Simons O(3) sigma model

In this paper, we consider the nonlinear equation arising from the Chern–Simons theory of planar matter fields interacting with the Chern–Simons gauge field in a CP(1) invariant fashion. Then, we establish the sharp region of flux for non-topological solutions and prove the classification of solutions of all types in the case of one vortex point. Moreover, we also give the complete result of Theorem 1.3 in the work by Choe et al. [J. Differ. Equations, 255, 2136 (2013)] from Theorem 1.4(ii) as follows.

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The analysis of solutions for Maxwell–Chern–Simons O(3) sigma model

Cited by 4 publications

References 20 publications

On the topological solutions with vortices and antivortices for the Maxwell-Chern-Simons O(3) sigma model on a torus

On the topological solutions with vortices and antivortices for the Maxwell-Chern-Simons O(3) sigma model on a torus

Topological multi-vortex solutions of the Maxwell–Chern–Simons–Higgs model with a background metric

Classification of solutions for self-dual Chern–Simons CP(1) model

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