ABSTRACT

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

chapter |8 pages

Basic Notations and Recalls

chapter Chapter 1|36 pages

Elements of Convex Analysis

chapter Chapter 3|24 pages

Minimization Methods and Variational Convergences

chapter Chapter 4|30 pages

BV and Sobolev Spaces

chapter Chapter 7|18 pages

Abstract Regularization and Jensen’s Inequality

chapter Chapter 8|14 pages

Unique Extension Results

chapter Chapter 9|20 pages

Integral Representation for Unbounded Functionals

chapter Chapter 10|50 pages

Relaxation of Unbounded Functionals

chapter Chapter 11|12 pages

Cut-off Functions and Partitions of Unity

chapter Chapter 12|46 pages

Homogenization of Unbounded Functionals