Multiplicity and concentration of nontrivial solutions for a class of fractional Kirchhoff equations with steep potential well

Abstract

This paper studies the following fractional Kirchhoff equations with steep potential well: where a, b, λ > 0 are parameters, μ > 0, and . Under some simple assumptions on V, g, and f, we prove that problem (1.1) has at least two nontrivial solutions. Moreover, the phenomenon of concentration of solutions is obtained.