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

Abstract

<p style='text-indent:20px;'>The aim of this paper is to study the multiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving sign-changing 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 <inline-formula><tex-math id="M1">\begin{document}$ K $\end{document}</tex-math></inline-formula>.</p>