Classification and sharp range of flux-pairs for radial solutions to a coupled system
Classification and sharp range of flux-pairs for radial solutions to a coupled system
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耦合系统径向解的通量对的分类和清晰范围
DOI：
10.1016/j.jde.2015.03.021
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发表时间：
2015-09
期刊：
影响因子：
--
通讯作者：
Tang Yong-li
中科院分区：
文献类型：
--
作者：
Chen Zhi-you;Tang Yong-li
In this paper, we study a coupled system of two nonlinear partial differential equations in the plane, which is related to Liouville equations, non-abelian Higgs BPS vortex equations or two Higgs electroweak model, with singularities at the origin. In addition to deriving the uniqueness of the so-calledtopological solutions, we also clarify the structure of all types of solutions, including the blow-up ones, under various conditions on coefficients and parameters appearing in the system. Furthermore, the sharp range of flux-pairs associated with specific types of solutions is considered as well.
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