This book introduces the reader the theory of nonlinear inclusions and
hemivariational inequalities with emphasis on the study of contact
mechanics. The work covers both abstract results in the area of
nonlinear inclusions, hemivariational inequalities as well as the study
of specific contact problems, including their modelling and their
variational analysis. Provided results are based on original research on
the existence, uniqueness, regularity and behavior of the solution for
various classes of nonlinear stationary and evolutionary inclusions. In
carrying out the variational analysis of various contact models, one
systematically uses results of hemivariational inequalities and, in this
way, illustrates the applications of nonlinear analysis in contact
mechanics. New mathematical methods are introduced and applied in the
study of nonlinear problems, which describe the contact between a
deformable body and a foundation. Contact problems arise in industry,
engineering and geophysics. Their variational analysis presented in this
book lies the background for their numerical analysis. This volume will
interest mathematicians, applied mathematicians, engineers, and
scientists as well as advanced graduate students.