Variational and non-variational methods in nonlinear analysis and boundary value problems
by Motreanu, D.
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 is devoted to the study of different qualitative properties such as multiplicit…
Read More ↓Title Statements
- Full title :Variational and non-variational methods in nonlinear analysis and boundary value problems / by D. Motreanu, Department of Mathematics, University of Perpignan, Perpignan, France, and V. Rǎdulescu, Department of Mathematics, University of Craiova, Craiova, Romania.
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 is devoted to the study of different qualitative properties such as multiplicity, location, extremality, and stability. The treatment relies on variational methods, monotonicity principles, topological arguments and optimization techniques. The book is based on the authors' original results obtained in the last decade. A great deal of the material is published for the first time in this book and is organized in a unifying way. The book is self-contained. The abstract results are illustrated through various examples and applications.
Read More ↓Edition Statements
- Publication Date:©2003
Publication Statements
- Publisher(s):Springer Science+Business Media
- Place of Publication:Dordrecht
- Language:eng
- Publication Date:©2003
The Physical Object
- Description:1 online resource (xii, 380 pages)
Edition Identifiers
- ISBN:9781475769210, 1475769210
- DOI:10.1007/978-1-4757-6921-0
- oclc:ocn864189664
- LC Classification:QA402.5
- Dewey Decimal:515.7248
Table of Contents
1. Elements of Nonsmooth Analysis -- 2. Critical Points for Nonsmooth Functionals -- 3. Variational Methods -- 4. Multivalued Elliptic Problems in Variational Form -- 5. Boundary Value Problems in Non-Variational Form -- 6. Variational, Hemivariational and Variationalhemivariational Inequalities -- 7. Eigenvalue Problems with Symmetries -- 8. Non-Symmetric Perturbations of Symmetric Eigenvalue Problems -- 9. Location of Solutions for General Nonsmooth Problems -- 10. Nonsmooth Evolution Problems -- 11. Inequality Problems in BV and Geometric Applications.
Read More ↓Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Files & Downloads
-
Variational and Non-variational Methods in Nonlin…
PDF · 10.4 MB · updated -
Variational and non-variational methods in nonlin…
DJVU · 2.2 MB · updated
Rate & Review