报告题目1：The homogeneous k-Hessian equation and some applications

报告人：张德凯副教授，华东师范大学

报告时间：2025年5月19日（周一）14:00

报告地点：腾讯会议：650-602-861

报告摘要：In this talk, we consider the homogeneous k-Hessian equation. We prove the existence and uniqueness of solutions by showing that the approximating solutions are uniformly controlled pointwisely by the fundamental solution up to second order.  As an application, we prove monotonicity formula along the the level set of the approximating solution and obtain some integral inequalities. This is a joint work with Prof. Xi-Nan Ma and Zhenghuan Gao.

报告人简介：张德凯，华东师范大学副教授，2018年博士毕业于中国科学技术大学，主要研究方向为非线性偏微分方程与几何分析，相关研究成果发表在J. Differential Geom., Math. Z., J. Geom. Anal., J. Differential Equations等期刊。

报告题目2：On the integro-differential elliptic equations

报告人：杜乐乐，罗马第一大学

报告时间：2025年5月19日（周一）14:50

报告地点：腾讯会议：650-602-861

报告摘要：We investigate semilinear elliptic equations that involve integro-differential operators, which are recognized as the infinitesimal generators of 2s-stable Levy processes. We introduce two types of Levy operators and establish Liouville theorems for integro-differential elliptic equations in various domains.

报告人简介：杜乐乐，罗马第一大学博士后，博士毕业于意大利Insubria大学，在JLMS, CVPDE, Math. Z.等杂志发表学术论文。

报告题目3：Symmetry of positive solutions to biharmonic Lane–Emden equation with singular set

报告人：周娴媚，华东师范大学

报告时间：2025年5月19日（周一）15:40

报告地点：腾讯会议：650-602-861

报告摘要：We are devoted to studying the positive weak, punctured or distributional solutions to the (subcritical) critical biharmonic Lane-Emden equation  with a singular set. The symmetry and monotonicity properties of the singular solutions will be given by taking advantage of the moving plane method and the approach of moving spheres. 

报告人简介：周娴媚, 目前在华东师范大学攻读博士学位，师从周风教授。已在《Calc. Var. Partial Differential Equations》、《Sci. China Math.》、《Pacific J. Math.》、《J. Geom. Anal.》等国内外期刊发表过学术论文。

邀请人：张为民