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Variational and non-variational methods in nonlinear analysis and boundary value problems

Author: D Motreanu; Vicenţiu D Rădulescu
Publisher: Dordrecht : Springer Science+Business Media, [2003] ©2003
Series: Nonconvex optimization and its applications, v. 67.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The book provides a comprehensive exposition of modern topics in nonlinear analysis with applications to various boundary value problems with discontinuous nonlinearities and nonsmooth constraints. Our framework includes multivalued elliptic problems with discontinuities, variational inequalities, hemivariational inequalities and evolution problems. In addition to the existence of solutions, a major part of the book  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Motreanu, D.
Variational and non-variational methods in nonlinear analysis and boundary value problems
(OCoLC)52203173
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: D Motreanu; Vicenţiu D Rădulescu
ISBN: 9781475769210 1475769210
OCLC Number: 864189664
Description: 1 online resource (xii, 380 pages).
Contents: Preface. Introduction. 1. Elements of Nonsmooth Analysis. 1. Generalized Gradients of Locally Lipschitz Functionals. 2. Palais Smale Condition and Coerciveness for a Class of Nonsmooth Functionals. 3. Nonsmooth Analysis in the Sense of Degiovanni. 2. Variational Methods. 1. Critical Point Theory for Locally Lipschitz Functionals. 2. Critical Point Theory for Convex Perturbations of Locally Lipschitz Functionals. 3. A Critical Point Theory in Metric Spaces. 3. Variational Methods. 1. Critical Point Theory for Convex Perturbations of Locally Lipschitz Functionals in the Limit Case. 2. Examples. 4. Multivalued Elliptic Problems in Variational Form. 1. Multiplicity for Locally Lipschitz Periodic Functionals. 2. The Multivalued Forced-pendulum Problem. 3. Hemivariational Inequalities Associated to Multivalued Problems with Strong Resonance. 4. A Parallel Nonsmooth Critical Point Theory. Approach to Stationary Schrodinger Type Equations in Constraints. 8. Non-Symmetric Perturbations of Symmetric Eigenvalue Problems. 1. Non-Symmetric Perturbations of Eigenvalue Problems for Periodic Hemivariational Inequalities with Constraints. 2. Perturbations of Double of Eigenvalue Problems for General Hemivariational Inequalities with Constraints. 3. location of Solutions by Minimax Methods of Variational Hemivariational Inequalities. 10. Nonsmooth Evolution Problems. 1. First Order Evolution Variational Inequalities. 2. Second Order Evolution Variational Inequalities. 3. Stability Problems for Evolution Variational Inequalities. 11. Inequality Problems in BV and Geometric Applications. 1. The General Framework. 2. Area Type Functionals. 3. A Result of Clark Type. 4. An Inequality Problem with Superlinear Potential.
Series Title: Nonconvex optimization and its applications, v. 67.
Responsibility: by D. Motreanu, Department of Mathematics, University of Perpignan, Perpignan, France, and V. Rǎdulescu, Department of Mathematics, University of Craiova, Craiova, Romania.

Abstract:

Excepting Sections 1 and 3 in Chapter 1 and Sections 1 and 3 in Chapter 2, the material is new in comparison with any other book, representing research topics where the authors contributed.  Read more...

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