Special Session 26: Nonlinear partial differential equations and their applications

On some sharp Hardy-Littlewood-Sobolev type inequalities
Qianqiao Guo
School of Mathematics and Statistics, Northwestern Polytechnical University
Peoples Rep of China
Co-Author(s):    
Abstract:
We establish some sharp Hardy-Littlewood-Sobolev type inequalities. For some cases, the extremal functions are classifified via the method of moving spheres, and the best constants are computed. This is joint work with Jingbo Dou, Zhe Pu, Jiankang Xia, Xiqiang Zhang and Meijun Zhu.