Existence of Ground State Solutions for a Class of Non-Autonomous Fractional Kirchhoff Equations

Abstract

We take a look at the fractional Kirchhoff problem in this paper. Using a variational approach, we show that there exists a ground state solution for this problem. Furthermore, using the approach developed by Szulkin and Weth, we also find that positive ground state solutions exist for the fractional Kirchhoff equation with p=4.