In this paper we deal with a class of inequality problems for static frictional
contact between a piezoelastic body and a foundation. The constitutive
law is assumed to be electrostatic and involves a nonlinear elasticity operator.
The friction condition is described by the Clarke subdifferential relations of nonmonotone
and multivalued character in the tangential directions on the boundary.
We derive a variational formulation which is a coupled system of a hemivariational
inequality and an elliptic equation. The existence of solutions to the model
is a consequence of a more general result obtained from the theory
of pseudomonotone mappings.