报告题目：Existence and qualitative analysis for nonlocal equations

报告人：浙江师范大学，杨敏波 教授

报告时间：2021-6-28日10：00--11: 00

报告地点：腾讯会议 ID 379 886 707

主办单位：开云·体育(中国)官方网站

报告摘要：The aim of this talk is to introduce some classification results of the solutions for the critical nonlocal equations 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.

报告人简介：浙江师范大学教授，博士生导师，数学与计算机科学学院副院长，浙江省高校中青年学科带头人。主要从事非线性分析及其应用领域的研究，主持或参与多项国家与省级科研项目，完成巴西国家科学技术发展委员会CNPq项目一项。在CVPDE、JDE、Com. Anal. Geometry、Nonlinearity、 DCDS-A 等杂志发表论文六十余篇。