Direct methods in the calculus of variations Bernard Dacorogna. Applied mathematical sciences 78.

Dacorogna, Bernard:

ISBN 10: 3540504915 / ISBN 13: 9783540504917

Published by Berlin, Springer [1989]., 1989

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 49 DAC 9783540504917 Sprache: Englisch Gewicht in Gramm: 1150.

Seller Inventory # 2506533

Bibliographic Details

• Title: Direct methods in the calculus of variations Bernard Dacorogna. Applied mathematical sciences 78.
• Publisher: Berlin, Springer [1989].
• Publication Date: 1989
• Language: English
• ISBN 10: 3540504915
• ISBN 13: 9783540504917
• Binding: Hardcover
• Weight: 1150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.

From the Back Cover

This book studies vectorial problems in the calculus of variations and quasiconvex analysis. It is a new edition of the earlier book published in 1989 and has been updated with some new material and examples added.

This monograph will appeal to researchers and graduate students in mathematics and engineering.