中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：朱静勇 副教授（四川大学）
题 目：Existence and uniqueness of Dirac-harmonic maps
时 间：2023.07.18（星期二）9:00-10:00
地 点：南楼N212
摘 要：In this report, we will talk about recent progress on the existence and uniqueness of Dirac-harmonic maps.
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报告人：高正焕 博士（上海大学）
题 目：The homogeneous k-Hessian equation in a punctured domain
时 间：2023.07.18（星期二）10:00-11:00
地 点：南楼N212
摘 要：In this talk, we consider the homogeneous k-Hessian equation in a punctured domain. We prove the existence and uniqueness of the C^1,1 solutions by showing the approximating solutions are uniformly controlled pointwisely by the fundamental solution up to second order. As applications, we prove some nearly monotonicity formula along the level set of the approximating solution and obtain some integral inequalities on the boundary of the domain. This is a joint work with Dekai Zhang and Prof. Xi-Nan Ma.
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