TY - JOUR
T1 - Blow up at infinity in the SU(3) Chern-Simons model, part I
AU - Kuo, Ting Jung
AU - Lee, Youngae
AU - Lin, Chang Shou
N1 - Funding Information:
The authors wish to thank an anonymous referee very much for careful reading and valuable comments. Y. Lee was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government ( MSIT ) (No. NRF-2018R1C1B6003403 ).
Publisher Copyright:
© 2020 Elsevier Inc.
PY - 2020/10/15
Y1 - 2020/10/15
N2 - 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.
AB - 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.
KW - Non-Abelian Chern-Simons models
KW - Non-topological solutions
KW - Partial blowing up solutions
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U2 - 10.1016/j.jfa.2020.108636
DO - 10.1016/j.jfa.2020.108636
M3 - Article
AN - SCOPUS:85085122809
VL - 279
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 7
M1 - 108636
ER -