Go back

Unbounded Functionals In The Calculus Of Variations Representation Relaxation And Homogenization(1st Edition)

Authors:

Luciano Carbone

Free unbounded functionals in the calculus of variations representation relaxation and homogenization 1st edition
7 ratings
Cover Type:Hardcover
Condition:Used

In Stock

Include with your book

Free shipping: April 16, 2024
Access to 3 Million+ solutions Free
Ask 10 Questions from expert 200,000+ Expert answers
7 days-trial

Total Price:

$0

List Price: $74.95 Savings: $74.95(100%)

Book details

ISBN: 0367455072, 978-0367455071

Book publisher: Chapman and Hall/CRC

Get your hands on the best-selling book Unbounded Functionals In The Calculus Of Variations Representation Relaxation And Homogenization 1st Edition for free. Feed your curiosity and let your imagination soar with the best stories coming out to you without hefty price tags. Browse SolutionInn to discover a treasure trove of fiction and non-fiction books where every page leads the reader to an undiscovered world. Start your literary adventure right away and also enjoy free shipping of these complimentary books to your door.

Unbounded Functionals In The Calculus Of Variations Representation Relaxation And Homogenization 1st Edition Summary: 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 general theory of integral representation, relaxation, and homogenization for unbounded functionals. The first part of the book builds the foundation for the general theory with concepts and tools from convex analysis, measure theory, and the theory of variational convergences. The authors then introduce some function spaces and explore some lower semicontinuity and minimization problems for energy functionals. Next, they survey some specific aspects the theory of standard functionals.The second half of the book carefully develops a theory of unbounded, translation invariant functionals that leads to results deeper than those already known, including unique extension properties, representation as integrals of the calculus of variations, relaxation theory, and homogenization processes. In this study, some new phenomena are pointed out. The authors' approach is unified and elegant, the text well written, and the results intriguing and useful, not just in various fields of mathematics, but also in a range of applied mathematics, physics, and material science disciplines.