Luciano Carbone

Unbounded Functionals in the Calculus of Variations (eBook, ePUB)

Representation, Relaxation, and Homogenization

• Format: ePub

Produktbeschreibung

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 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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 408
• Erscheinungstermin: 13. Juni 2019
• Englisch
• ISBN-13: 9781000611083
• Artikelnr.: 57001561

Autorenporträt

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.

Inhaltsangabe

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.