Variational and hemivariational inequalities. Theory, methods and applications. Vol. II: Unilateral problems. (English) Zbl 1259.49001

Nonconvex Optimization and Its Applications 70. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7538-3/hbk; 978-1-4419-8758-7/ebook). xiii, 354 p. (2003).
Publisher’s description: 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.
For part I, see [Zbl 1259.49002].


49-02 Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control
49J40 Variational inequalities
49J52 Nonsmooth analysis
34G25 Evolution inclusions
35R35 Free boundary problems for PDEs
47J20 Variational and other types of inequalities involving nonlinear operators (general)
74G99 Equilibrium (steady-state) problems in solid mechanics


Zbl 1259.49002
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