Gives a complete and rigorous presentation of the mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions. A theory of the existence of solutions for inequality problems involving monconvexity and nonsmoothness is established.Introductory material; pseudo-monotonicity and generalized pseudo-monotonicity; hemivariational inequalities for static one-dimensional nonconvex superpotential laws; hemivariational inequalities for locally Lipschitz functionals; hemivariational inequalities for multidimensional superpotential law; noncoercive hemivariational inequalities related to free boundary problems; constrained problems for nonconvex star-shaped admissible sets.
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