NONLOCAL ELLIPTIC VARIATIONAL-HEMIVARIATIONAL INEQUALITIES

We examine the existence of a weak solution to a class of variational-hemivariational inequalities
governed by a fractional Laplace operator. Moreover, an existence result is proved for a bilateral
obstacle problem for a nonlocal hemivariational inequality. Our approach is based on a surjectivity
result for pseudomonotone mappings, properties of Clarke’s subgradient, and the Moreau–Yosida
approximation.