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Some Nonlinear Elliptic PDEs Arising in Theoretical Physics

发布时间:2023-04-06 作者: 浏览次数:
Speaker: 韩小森 教授 DateTime: 2023年4月10日(周一)下午4:00-5:00
Brief Introduction to Speaker:

韩小森,河南大学教授,主要研究领域为非线性偏微分方程与数学物理,主要成果发表在CMP,JFA,CPDE,JDE等学术刊物上。

Place: 6号楼二楼学术报告厅
Abstract:In this talk we review some results about the nonlinear elliptic pdes originating from theoretical physics, especially field theories. Firstly we recall some elliptic pdes with related results arising from the classical Abelian Higgs model. Secondly, we review the pdes appear in the Abelian and non-Abelian Chern-Simons-Higgs models and present some existence results. Thirdly, we review some nonlinear PDE systems arising in a dually gauged harmonic map model and related existence results.