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.
General
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