This paper mainly deals with a class of the p-Laplacian Kirchhoff–Schrödinger equation with potentials vanishing or unbounded at infinity. We prove the existence and concentration behavior of positive solutions for the problem by the variational methods and concentration-compactness principle. The main feature of this paper is that the potential decays to zero at infinity like | x|− α with 0 < α ≤ 2, and the function K( x) is allowed to be unbounded, which is different from some previous papers.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.