p-Laplacian equations in RN with finite potential via truncation method, the critical case

In this paper, we consider the problem −Δpu+a(x)|u|p−2u=|u|p⁎−2u+μ|u|q−2u in RN, where 10, Δp is the p-Laplacian operator, and the potential a(x) is positive and verifies suitable decay assumptions. We prove that the problem has infinitely many solutions by using truncation method.