Octavo, vi, ix, 308 pages. In Very Good condition. Bound in the publisher's yellow cloth bearing black lettering to the spine. Boards very light wear including minimal soiling and minor edge wear. Mild cocking to the spine. Text block has very slight age toning to the edges. Illustrated. NOTE: Shelved in Netdesk Column O, ND-O. 1390790. FP New Rockville Stock.

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Bibliografische Details

Titel: DIRECT METHODS IN THE CALCULUS OF VARIATIONS
Verlag: Springer Verlag, Berlin, Heidelberg, New York
Erscheinungsjahr: 1989
Sprache: Englisch
ISBN-10: 3540504915
ISBN-13: 9783540504917
Einband: Hardcover

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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.

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