Blow up at infinity in the SU(3) Chern-Simons model, part I

Ting Jung Kuo, Youngae Lee, Chang Shou Lin

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We consider non-topological solutions of a nonlinear elliptic system problem (see (1.4) below) derived from the SU(3) Chern-Simons models in R2. The existence of non-topological solutions even for radial symmetric case has been a long standing open problem. Recently, Choe, Kim, and Lin in [7,8] showed the existence of radial symmetric non-topological solution when the vortex points collapse. However, the arguments in [7,8] cannot work for an arbitrary configuration of vortex points. In this paper, we develop a new approach by using different scalings for different components of the system to construct a family of non-topological solutions, which blows up at infinity.

    Original languageEnglish
    Article number108636
    JournalJournal of Functional Analysis
    Volume279
    Issue number7
    DOIs
    Publication statusPublished - 2020 Oct 15

    Keywords

    • Non-Abelian Chern-Simons models
    • Non-topological solutions
    • Partial blowing up solutions

    ASJC Scopus subject areas

    • Analysis

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