Multiplicity results for hemivariational inequalities driven by nonlocal elliptic operators

In this paper, we extend a recently established three-critical-point theorem of Arcoya and Carmona (2007) [7] relating to some functionals which are only differentiable along some directions to Motreanu–Panagiotopoulos functionals. As its applications, we establish the existence of two nontrivial solutions to hemivariational inequalities driven by non-local integrodifferential operators.