报告题目1：Non-radial segregated solutions for a coupled Hartree system with weak interspecies forces

报告人：高发顺副教授，河南城建学院

报告时间：2026年8月18日（周二）8:00-10:00

报告地点：20-200

报告摘要：In this talk, we study the existence of nontrivial solutions of the following coupled Hartree system

where P(r) is the positive radial potential and
is a coupling parameter. We prove the existence of non-radial segregated solutions for the coupled Hartree system with weak interspecies forces under suitable conditions on the linear potential P(r) by applying Lyapunov-Schmidt reduction method.

报告人简介：高发顺，理学博士，河南城建学院副教授。主要从事非线性分析和临界点理论与变分学的研究。在Calc. Var. Partial Differential Equations，Math. Z., J. Differential Equations, J. Geom. Anal.,  Nonlinearity，Commun. Contemp. Math., Sci China Math, Proc. Roy. Soc. Edinburgh Sect. A等国内外重要期刊上发表学术论文20余篇，被引用900余次。2019年，博士学位论文获浙江省优秀博士学位论文。研究成果获英国物理学会颁发的2022年度“中国高被引论文奖”。2020年主持国家自然科学基金青年项目（C类），已结项。2025年获批国家自然科学面上项目一项。

报告题目2：The Brézis-Coron Open Problem and Boundary Rigidity for Harmonic Maps

报告人：郭琪讲师，中国人民大学

报告时间：2026年8月18日（周二）10:00-12:00

报告地点：20-200

报告摘要：We study harmonic maps from the 2 dimensional unit disk B_1 into S^2 with boundary data given by a once-covered latitude circle. Brézis and Coron constructed two explicit solutions and asked whether there are other solutions. Our main result gives a negative answer: every weak harmonic map with this boundary trace must be one of the two Brézis-Coron maps. The proof uses a boundary rigidity argument based on the Hopf differential, the Pohozaev identity, and the sharp planar isoperimetric inequality. This completely resolves Brézis's Open Problem 3.1.  

报告人简介：郭琪，中国人民大学数学学院讲师，2021年博士毕业于中科院数学所，研究方向为临界点理论、变分法和随机图理论等，曾主持博士后基金一项，国家自然科学基金（青年项目）一项，相关研究工作发表在JDE, SIMA, CVPDE, CCM, DCDS, JMP等杂志。

报告题目3：On rigidity results for solutions to ellipticequations

报告人：彭少龙副教授，北京航空航天大学

报告时间：2026年8月18日（周二）13:00-15:00

报告地点：20-200

报告摘要：In this talk, we study the classification results of solutions to some semilinear elliptic system. We first derive the equivalence between PDE system and the corresponding IEs system. And then applying the method of moving spheres (or scaling sphere) in integral form combined with integral inequalities, under certain assumptions, we give a complete classification (or Liouville-theorem) of the classical solutions to mixed order elliptic system. Next, we study the classification results of solutions to quasilinear ellipticequations. By using the vector field and integration method. We derived the classification result to n-Laplacian Liouville equation with positive nonlinear Neumann boundary condition on the half-space.

报告人简介：彭少龙，北京航空航天大学副教授、清华大学博士。主要从事非局椭圆方程与临界椭圆方程（组）解的性质研究。入选2024年博士后创新人才支持计划。相关研究成果发表在JMPA、Sci. China Math、SIAM J. Math. Anal.、Israel J. Math.、J. Anal. Math.、Math. Z.、Calc.Var.& PDEs、JDE等重要学术期刊。

邀请人：赵顺能