Abstract
In this paper we show the existence of non-topological 0-vortex and 1-vortex solutions for a nonlinear elliptic equation arising from Chern-Simons-Higgs theory in a general background metric $(g_{\mu\nu})=diag(1, -k(x), -k(x))$ with decay $k(x)=O(|x|^{-l})$ for some $ l >2$ at infinity.
Citation
Kazuhiro Kurata. "Existence of non-topological solutions for a nonlinear elliptic equation arising from Chern-Simons-Higgs theory in a general background metric." Differential Integral Equations 14 (8) 925 - 935, 2001. https://doi.org/10.57262/die/1356123173
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