Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian

Abstract

Abstract We consider the Kirchhoff-type p-Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the Nehari method in critical point theory, we obtain the existence theorem of ground state solutions for such Dirichlet problem.

Keywords

• Kirchhoff-type equation
• Fractional p-Laplacian
• Dirichlet problem
• Ground state solution
• Nehari manifold