浙江师范大学杨敏波教授学术报告 11月25日上午
发布时间: 2018-11-21 访问次数: 13

报告题目【Existence and qualitative analysis for nonlinear weighted Choquard equations】


时间:2018年11月25 (星期日) 08:30 


地点:理工北楼601报告厅


主讲:浙江师范大学,杨敏波教授


主办:数学与信息学院, 福建省分析数学及应用重点实验室, 数学研究中心


参加对象:相关专业老师及学生


专家简介:男,教授,博士生导师,从事非线性分析及其应用研究,在椭圆方程解的存在性、多重性及其定性和定量性质方面取得了一系列重要的研究成果,在国内外著名的学术期刊上发表论文30多篇,主持多项国家自然科学基金项目。


报告摘要:The aim of this talk is to introduce some classification results of  the solutions of the critical nonlocal equation with weighted nonlocal term and the subcritical case of the form The critical exponent  is due to the weighted Hardy-Littlewood-Sobolev inequality and Sobolev imbedding.

We prove the existence of positive ground state solutions for the subcritical case by using Schwarz symmetrization and the critical case by a nonlocal version of concentration-compactness principle. We also establish the regularity of positive solutions for these two equations. Finally, we prove the symmetry of positive solutions by the moving plane method in integral forms. Some nondegeneracy results are also established.