Infinitely many positive solutions for a nonlocal problem

In this paper, we obtain infinitely many small positive solutions of the following nonlocal problem −LKu=f(x,u)inΩ,u=0inRN∖Ω,where Ω⊂RN is a bounded domain with Lipschitz boundary ∂Ω, and LK is an integrodifferential operator of fractional Laplacian type. The character of this work is that we do not require any growth condition on f for u large.