报告题目：Regularity, symmetry and asymptotic behavior of solutions for the static Hartree type equations

报告人：杨敏波 教授

所在单位：浙江师范大学

报告时间：2022年8月20日 7：30——8：10

报告地点：腾讯会议 ID：262241965

校内联系人：魏元鸿 weiyuanhong@jlu.edu.cn

报告摘要：We consider the positive solutions of some integral systems related to the static Hartree type equations. Firstly, assuming that the exponent p belongs to some suitable interval depending on the parameters mu, tau,al,beta, we are able to prove some nonexistence results for the positive solution. Secondly, we also establish some qualitative results for the integrable solution of the system like regularity, symmetry and asymptotic behaviour. As a corollary, we deduce the corresponding results for the equivalent weighted Hartree type nonlocal equations.

报告人简介：杨敏波，浙江师范大学数学系教授，博士生导师, 浙江师范大学初阳学院副经理。研究领域：非线性分析与椭圆型偏微分方程。主持国家自然科学基金面上项目、省基金重点项目多项。近年来在Calc. Var. Partial Differential Equations、Mathematische Zeitschrift、Commun. Anal. Geom.、J. Differential Equations、Nonlinearity、Ann. Mat. Pura. Appl.、Commun. Contemp. Math、中国科学（中、英）等国内外高水平学术期刊上录用发表论文80余篇。应邀在中国数学会年会、2018国际数学家大会卫星会议等重要会议做报告。