Luciano Carbone, Riccardo De Arcangelis

Unbounded Functionals in the Calculus of Variations

Representation, Relaxation, and Homogenization

• Broschiertes Buch

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 gener

Produktdetails

• Verlag: CRC Press
• Seitenzahl: 408
• Erscheinungstermin: 2. Dezember 2019
• Englisch
• Abmessung: 234mm x 156mm x 21mm
• Gewicht: 572g
• ISBN-13: 9780367455071
• ISBN-10: 0367455072
• Artikelnr.: 58441638

Autorenporträt

Carbone, Luciano; De Arcangelis, Riccardo

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.