Infinitely Many Weak Solutions for Fractional Dirichlet Problem with   $p$-Laplacian
  We focus on the study of $p$-Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the genus properties in critical point theory, we establish some new criteria to guarantee the existence of infinitely many weak solutions for the considered problem. 
Taiyong Chen, Wenbin Liu, Hua Jin
math.CA