In this talk, I will describe a moving sphere approach to a class of integral equations with bubble-type kernel. This class of equations comes from higher-order elliptic equations on the standard sphere via the steoreographic projection. As a by-product, we obtain a Liouville-type result for higher-order equations on the sphere. This is joint work with Quynh Ngoc Thi Le and Tien-Tai Nguyen.
