Variational and Hemivariational Inequalities Theory, Methods and Applications [electronic resource] : Volume I: Unilateral Analysis and Unilateral Mechanics / by D. Goeleven, D. Motreanu, Y. Dumont, M. Rochdi
Imprint
Boston, MA : Springer US : Imprint: Springer, 2003
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
Mathematics
Differential equations
Partial differential equations
Applied mathematics
Engineering mathematics
Mathematical optimization
Calculus of variations
Mathematics
Calculus of Variations and Optimal Control; Optimization
