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讲准字155号:Improved singular Moser-Trudinger inequality and Adams inequality...

网络真人百家家乐app:2017-06-05|浏览次数:

题目:Improved singular Moser-Trudinger inequality and Adams inequality in the whole space and their applications in PDES

主讲:张彩凤

时间:6月6日10:40

地点:理学院401

主办:理学院


 

主讲概况:张彩凤,北京师范大学博士。研究专长:调和分析,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《Complex Variables and Elliptic Equations》以第一编辑发表一篇文章,另有多篇文章已投稿到《Advanced Nonlinear Studies》, 《Journal of Geometric Analysis》,《Communications on Pure and Applied Analysis 》等杂志中.

主讲内容:In this talk, we prove a sharp version of concentration-compactness principle for the singular Adams inequalities in $W^{m,2}(\mathbb{R}^{2m})$. Second, we establish a new Sobolev compact embedding. Third, by applying the above results, we give sufficient conditions for existence of ground state solutions to m-Laplacian equation with expontential growth


 

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