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讲准字154号: 全空间和半空间上的反向Stein-Weiss不等式和极值函数的存在性

网络真人百家家乐app:2017-06-05|浏览次数:

题目:全空间和半空间上的反向Stein-Weiss不等式和极值函数的存在性

    (Reverse Stein-Weiss inequality on whole space and half space and the existence of extremal functions)

主讲:陈露

时间:6月6日10:00

地点:理学院401

主办:理学院


 

主讲概况:陈露,北京师范大学博士。研究专长:多参数调和分析, 分数次方程和几何不等式. 现在主要致力于研究Moser-Trudinger 不等式和高阶CKN不等式的极值函数及其在偏微分方程中的应用。目前已经在《Transaction of the AMS》, 《Nonlinear Analysis. Theory, Methods & Applications》, 《Advanced Nonlinear Studies》, 《Communications on Pure and Applied Analysis 》, 《Mathematical Inequalities & Applications》, 《Journal of Inequalities and applications》 SCI杂志上以第一编辑身份接收并发表了六篇文章. 另有多篇文章已经投搞到 《Applied Mathematics Letters》, 《Journal of Mathematical Analysis and Applications》, 《Journal of Geometric Analysis》等杂志中.

主讲内容:In this talk, we establish reverse Stein-Weiss inequality on whole space and half space. We derive the existence of extremal functions for the above inequality. Moreover, some asymptotic behaviors are obtained for the corresponding Euler-Lagrange system. Finally, for an analogous weighted system, we prove necessary conditions of existence for any positive solutions by using the Pohozaev identity. Our proof of the reverse Stein-Weiss inequalities relies on techniques in harmonic analysis.


 

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