Uniqueness of types of infinitely-many-bump solutions for the fractional Nirenberg problem

In this study, we fix k∈Z∩[1,n−2s2). We consider the infinitely-many-bump solutions clustered near some lattice that is isomorphic to Zk for the following fractional Nirenberg problem:(−Δ)su=K(x)un+2sn−2s,u>0inRn. We establish that if s∈(12,1), n>2+2s, then these types of solutions are unique and periodic in the first k-variables.