报告题目：Some studies on the weighted anisotropic Hardy-Sobolev type inequalities and singular elliptic problems

报告人：沈言生，江苏大学

报告时间：6月29日，14:30-15:30

报告地点：第五教学课5501

摘要：In this talk, I will introduce some results on the weighted anisotropic Hardy-Sobolev type inequalities and its application. We first present the sharp constant of the anisotropic Caffarelli-Kohn-Nirenberg inequality as well as the existence and explicit form of extremal functions of the anisotropic Hardy-Sobolev type inequality. Then we discuss some recent progress on the singular elliptic problems related to the Hardy-Sobolev inequality. Existence, multiplicity as well as regularity results are obtained.