Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities
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Word Count
81,000 words, Guess
Page Count
324 pages
Identifiers
- ISBN-139781461540649
- ISBN-10146154064X
- Better World Books9781461540649
- Open LibraryOL37394912M
Classifications
- LCCQA402.5-402.6
Description
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.
Subjects
Other Editions
- Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities
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