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Opis

The present book is the first ever published in which a new type of eigenvalue problem is studied, one that is very useful for applications: eigenvalue problems related to hemivariational inequalities, i.e. involving nonsmooth, nonconvex, energy functions. New existence, multiplicity and perturbation results are proved using three different approaches: minimization, minimax methods and (sub)critical point theory. Nonresonant and resonant cases are studied both for static and dynamic problems and several new qualitative properties of the hemivariational inequalities are obtained. Both simple and double eigenvalue problems are studied, as well as those constrained on the sphere and those which are unconstrained. §The book is self-contained, is written with the utmost possible clarity and contains highly original results. Applications concerning new stability results for beams, plates and shells with adhesive supports, etc. illustrate the theory. §Audience: applied and pure mathematicians, civil, aeronautical and mechanical engineers.

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Calculus & mathematical analysis

• Pełny tytuł: Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities
• Autor: Dumitru Motreanu, Panagiotis D. Panagiotopoulos
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 310
• EAN: 9781461368205
• ISBN: 1461368200
• ID: 02643529
• Wydawca: Springer-Verlag New York Inc.
• Waga: 510 g
• Wymiary: 235 × 155 × 19 mm
• Data wydania: 04. December 2013

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