1st Edition
Unbounded Functionals in the Calculus of Variations Representation, Relaxation, and Homogenization
408 Pages
by
Chapman & Hall
408 Pages
5 B/W Illustrations
by
Chapman & Hall
408 Pages
by
Chapman & Hall
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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,... Read more
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.
Biography
Carbone, Luciano; De Arcangelis, Riccardo
