Three solutions for a perturbed Dirichlet boundary value problem involving the pp-Laplacian

In this paper, we study the perturbed Dirichlet problem {−Δpu+a(x)|u|p−2u=f(x,u)+λg(x,u)in Ω,u=0on ∂Ω. Some existence results of three solutions are obtained by using a three critical points Theorem proved by G. Bonanno (2003) [G. Bonanno, Some remarks on a three critical points theorem, Nonlinear Anal. 54 (2003) 651–665.].