عنوان

Direct Methods in the Calculus of Variations

(Number (ISBN

3642514405

(Number (ISBN

9783642514401

Number

b569583

Title Proper

Direct Methods in the Calculus of Variations

General Material Designation

[Book]

First Statement of Responsibility

by Bernard Dacorogna.

Place of Publication, Distribution, etc.

Berlin, Heidelberg

Name of Publisher, Distributor, etc.

Springer Berlin Heidelberg

Date of Publication, Distribution, etc.

1989

Specific Material Designation and Extent of Item

(ix, 308 pages 10 illustrations)

Series Title

Applied mathematical sciences (Springer-Verlag New York Inc.), 78.

Text of Note

Introduction --; Preliminaries --; General Setting and the Scalar Case --; The Vectorial Case --; Non-Convex Integrands --; Appendix: Applications --; Bibliography --; Index.

Text of Note

This book deals with the calculus of variations and presents the so called direct methods for proving existence of minima. It is divided into four main parts. The first one deals with the scalar case, i.e. with real-valued functions; it gives well known existence theorems and studies some of the classical necessary conditions such as Euler equations. The second part is concerned with vector-valued functions; some necessary or sufficient conditions are studied as well as several examples. The third one deals with the relaxation of nonconvex problems. Finally in the Appendix several examples of applications of the previous chapters to nonlinear elasticity and optimal design are given. The book serves an important purpose in bringing together, in the second and third parts as well as the Appendix, material which till now remained scattered in the literature. It thus gives a unified view of some of the recent developments. As special emphasis is laid on examples throughout, it will be useful also to readers interested in applications.

Differential equations, Partial.

Mathematics.

Systems theory.

Class number

Book number

by Bernard Dacorogna.

Bernard Dacorogna

Electronic name

[Book]

Y