题目：On the extension of Hardy-Littlewood-Sobolev inequality

报告人：朱梅俊教授，
      University of Okhlahoma, USA

时间：2014年6月7日（星期六）上午9：00-10:00

地点：管理科研楼1208

摘要:  In this talk, I shall describe our recent work on the extension of Hardy-Littlewood-Sobolev (HLS)inequality. We shall describe the surprise discovery of the reversed HLS inequality and its application in a generalized Nirenberg type curvature problem. A Moser type existence result is obtained (in particular, the Moser type existence result for the prescribing Q-curvature on S^3 is obtained). We shall also briefly describe the extension of HLS on compact Riemannian manifolds and its application to a generalized Yamabe problem. Some of the results are obtained with Jingbo Dou and Yazhou Han.