Multiple Integrals in the Calculus of Variations
PDF扫描清晰版

Morrey Jr., Charles Bradfield

                                                   
Originally published as volume 130 in the series: Grundlehren der Mathematischen WissenschaftenReprint of the 1st ed. 1966, 1966, XVI, 506 p., Softcover
ISBN: 978-3-540-69915-6

1 Introduction.- 2 Semi-classical results.-
3 The spaces Hpm and Hp0m.-
4 Existence theorems.-
5 Differentiability of weak solutions.-
6 Regularity theorems for the solutions of general elliptic systems and boundary volue problems.- 7 A variational method in the theory of harmonic integrals.-
8 The d-Neumann peoblem on strongly pseudo-convex manifolds.-
9 Introduction to parametric Integrals; two dimensional problems.-
10 The higher dimensional PLATEAU problems.- Bibliography.- Index.