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数学学科现代分析及其应用研究所(2021非线性分析与偏微分方程系列报告会三十六)

发布者:付慧娟   发布时间:2021-01-19  浏览次数:10

报告题目71 Some recent results on Sobolev embeddings

报 告 人张建军  重庆交通大学

会议时间:124日(周四),14:00-14:40

腾讯会议ID:  810 400 387,https://meeting.tencent.com/s/OJA7Sznz6AMj

摘要: In this talk, we are concerned with some Sobolev embeddings. In the first part, we establish upper and lower estimates for the embedding constants related to the classical Sobolev embeddings , where is a bounded domain or the whole and if or  if . In dimension , we also derive a sharp asymptotic behavior of the embedding constant as . In the second part, we establish a sharp weighted anisotropic Sobolev inequality on the half-space. Moreover, existence and nonexistence of minimizers to the best constants are also investigated. This talk is based on joint work with Daniele Cassani, Cristina Tarsi and one with Diego Felix, Everaldo Medeiros.

报告人简介张建军,重庆交通大学教授、清华大学博士,Mathematics Review评论员,2012年-2014年南开大学陈省身数学研究所博士后,2014年-2015年巴西帕拉伊巴联邦大学博士后,2015年-2016年和2018年-2019年意大利因苏布里亚大学博士后,2018年7月获得意大利副教授国家资格认证,主持国家自然科学基金-面上项目、国际(地区)合作交流项目、意大利伦巴第研究员基金(Global ERC)和中国博士后基金(二等)各一项,先后应邀访问美国,德国,意大利,葡萄牙,西班牙和巴西等多所研究机构,并多次在国际会议上作学术报告。研究领域主要包括非线分析中的变分与拓扑方法,非线性椭圆方程等,迄今已在包括Communications in Partial Differential Equations,Journal of Differential Equations, Calculus of Variations and Partial Differential Equations, Nonlinearity, Proceedings of the Royal Society of Edinburgh, Section A Mathematics,Journal of the London Mathematical Society, Annali di Matematica Pura ed Applicata, Communications in Contemporary Mathematics等刊物上发表SCI论文40余篇,其中ESI高被引4篇。



报告题目72 Multiplicity and concentration results for a magnetic Schrodinger equation with exponential critical growth in R^2

报 告 人姬超  华东理工大学

会议时间:124日(周四),14:40-15:20

腾讯会议ID:  810 400 387,https://meeting.tencent.com/s/OJA7Sznz6AMj

摘要:In this talk, we are concerned with multiplicity and concentration of solutions for a nonlinear Schrodinger equation with magnetic field when the potential V satisfies a local assumption and the nonlinear term has exponential critical growth. This is a joint work with professor Pietro d'Avenia.

报告人简介姬超,华东理工大学副教授。研究兴趣主要有对数薛定谔方程,带磁场的非线性薛定谔方程和具变指数增长的非线性椭圆方程等。已在包括 Int. Math. Res. Not., Calc. Var. Partial Differential Equations, Sci. China Math., J. London Math. Soc.和 Israel J. Math. 等重要期刊上发表SCI论文38篇。

 

邀请人:非线性分析与PDE团队