Ground State Solutions of Kirchhoff-type Fractional Dirichlet Problem   with $p$-Laplacian
  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. 
Taiyong Chen, Wenbin Liu, Hua Jin
math.CA