时间：2013年3月18日下午3:00
地点: 下沙校区教学D楼104（理学院党员之家）
报告摘要：
In this talk, we will report some recent development on sharp subcritical and critical Moser-Trudinger inequalities on first order Sobolev spaces and Adams inequalities on high order Sobolev spaces on the entire Euclidean spaces. Sharp sub-critical and critical Moser-Trudinger inequalities on the whole Heisenberg group will also be discussed. Moreover, we will mention some recent works on sharp affine Moser-Trudinger inequalities. Due to the absence of the symmetrization on the Heisenberg group and also on the high order Sobolev spaces, we develop a rearrangement-free method to establish these sharp inequalities. If time allows, we will discuss applications to nonlinear PDEs with nonlinearity of exponential growth. These are joint works with Nguyen Lam.
专家简介：
陆国震，美国韦恩州立大学终身教授、北京师范大学“京师学者”讲座教授，著名的调和分析方专家。同时还担任美国美中关系全国委员会委员以及美国密西根州州政府亚太事务委员会委员。
学院官微
