Multiple Integrals in the Calculus of Variations

Abstract

Suitable for those concerned with multiple integral variational problems and with elliptic partial differential equations, this book presents a comprehensive treatise of the theory of multiple integral variational problems. Introduction -- Semi-classical results -- The spaces Hpm and Hp0m --Existence theorems -- Differentiability of weak solutions -- Regularity theorems for the solutions of general elliptic systems and boundary volue problems -- A variational method in the theory of harmonic integrals -- The d-Neumann peoblem on strongly pseudo-convex manifolds -- Introduction to parametric Integrals; two dimensional problems -- The higher dimensional plateau problems -- Bibliography -- Index.