Buch, Englisch, 380 Seiten, Previously published in hardcover, Format (B × H): 210 mm x 279 mm, Gewicht: 962 g
Buch, Englisch, 380 Seiten, Previously published in hardcover, Format (B × H): 210 mm x 279 mm, Gewicht: 962 g
Reihe: Nonconvex Optimization and Its Applications
ISBN: 978-1-4419-5248-6
Verlag: Springer US
This book reflects a significant part of authors' research activity dur ing the last ten years. The present monograph is constructed on the results obtained by the authors through their direct cooperation or due to the authors separately or in cooperation with other mathematicians. All these results fit in a unitary scheme giving the structure of this work. The book is mainly addressed to researchers and scholars in Pure and Applied Mathematics, Mechanics, Physics and Engineering. We are greatly indebted to Viorica Venera Motreanu for the careful reading of the manuscript and helpful comments on important issues. We are also grateful to our Editors of Kluwer Academic Publishers for their professional assistance. Our deepest thanks go to our numerous scientific collaborators and friends, whose work was so important for us. D. Motreanu and V. Radulescu IX Introduction The present monograph is based on original results obtained by the authors in the last decade. This book provides a comprehensive expo sition of some modern topics in nonlinear analysis with applications to the study of several classes of boundary value problems. Our framework includes multivalued elliptic problems with discontinuities, variational inequalities, hemivariational inequalities and evolution problems. The treatment relies on variational methods, monotonicity principles, topo logical arguments and optimization techniques. 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. The outline of our work is the following.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
- Mathematik | Informatik Mathematik Operations Research Spieltheorie
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
Weitere Infos & Material
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.
