Multiplicity results for hemivariational inequalities driven by nonlocal elliptic operators

Abstract

a b s t r a c tIn 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.