Unbounded Functionals in the Calculus of Variations
Representation, Relaxation, and Homogenization
1st Edition
Published on 13. June 2019
408 pages
978-1-4200-3558-2 (ISBN)
Description
Over the last few decades, research in elastic-plastic torsion theory, electrostatic screening, and rubber-like nonlinear elastomers has pointed the way to some interesting new classes of minimum problems for energy functionals of the calculus of variations. This advanced-level monograph addresses these issues by developing the framework of a gener
More details
Edition
1. Auflage
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Pure and applied mathematicians, physicists, and engineers interested in calculus of variations
Illustrations
5 s/w Abbildungen
5 b/w images
ISBN-13
978-1-4200-3558-2 (9781420035582)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Luciano Carbone
Unbounded Functionals in the Calculus of Variations
Representation, Relaxation, and Homogenization
Book
12/2019
1st Edition
Chapman & Hall/CRC
€94.50
Shipment within 15-20 days
Luciano Carbone
Unbounded Functionals in the Calculus of Variations
Representation, Relaxation, and Homogenization
Book
12/2001
1st Edition
Chapman & Hall/CRC
€259.98
Article not available at the moment
Person
Luciano Carbone and Riccardo De Arcangelis arc Full Professors of Mathematical Analysis at the University of Naples "Federico II." Italy. Their scientific interests primarily focus on various branches of the calculus of variations. and related topics.
Content
Preface. Basic Notations and Recalls. Elements of Convex Analysis. Elements of Measure and Increasing Set Functions . Minimization Methods and Variational Convergences. Bv and Sobolev Spaces. Lower Semicontinuity and Minimization of Integral Functionals. Classical Results and Mathematical Models . Abstract Regularization and Jensen's Inequality. Unique Extension Results. Integral Representation for Unbounded Functionals. Relaxation of Unbounded Functionals. Cut-off Functions and Partitions of Unity. Homogenization of Unbounded Functionals. Homogenization of Unbounded Functionals with Special Constraints Set. Bibliography. Index.
