Existence of least energy positive, negative and nodal solutions for a class of p&qp&q-problems with potentials vanishing at infinity

In this paper we prove the existence of at least three nontrivial solutions for the class of p&qp&q problems given by−div(a(|∇u|p)|∇u|p−2∇u)+V(x)b(|u|p)|u|p−2u=K(x)f(u),inRN, where N≥3N≥3, 2≤p