This book includes a self-contained theory of inequality problems and
their applications to unilateral mechanics. Fundamental theoretical
results and related methods of analysis are discussed on various
examples and applications in mechanics. The work can be seen as a book
of applied nonlinear analysis entirely devoted to the study of
inequality problems, i.e. variational inequalities and hemivariational
inequalities in mathematical models and their corresponding applications
to unilateral mechanics. It contains a systematic investigation of the
interplay between theoretical results and concrete problems in
mechanics. It is the first textbook including a comprehensive and
systematic study of both elliptic, parabolic and hyperbolic inequality
models, dynamical unilateral systems and unilateral eigenvalues
problems. The book is self-contained and it offers, for the first time,
the possibility to learn about inequality models and to acquire the
essence of the theory in a relatively short time.
Audience: The book is suitable for researchers, and for doctoral and
post-doctoral courses.