Speaker: Wenming Zou, Tsinghua University

Time: July 21, 09:00-09:40

Address: Room 327, 3rd floor, New Activity Center, HIT

Title: On an elliptic system with critical Hardy-Sobolev exponents and a double-variable inequality

Abstract: I will talk about an elliptic system with critical Hardy-Sobolev exponents defined on a cone. We will establish a sequence of fundamental results including regularity, symmetry, existence and multiplicity, uniqueness and nonexistence, etc. In particular, for the homogeneous case, it induces a kind of double-variable inequalities. I shall speak of the sharp constant and extremal functions to those inequalities.