Multiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving sign-changing weight functions

Abstract

The aim of this paper is to study the multiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving signchanging weight functions and concave-convex nonlinearities with subcritical or critical growth. Applying Nehari manifold, fibering maps and Ljusternik-Schnirelmann theory, we investigate a relationship between the number of positive solutions and the topology of the global maximum set of K.