
Direct Methods in the Calculus of Variations
Bernard Dacorogna(Author)
Springer (Publisher)
2nd Edition
Published on 29. November 2007
Book
Hardback
XII, 622 pages
978-0-387-35779-9 (ISBN)
Description
This book is developed for the study of vectorial problems in the calculus of variations. The subject is a very active one and almost half of the book consists of new material. This is a new edition of the earlier book published in 1989 and it is suitable for graduate students. The book has been updated with some new material and examples added. Applications are included.
Reviews / Votes
From the reviews of the second edition: "This new edition is very much expanded, up to the point that it can be considered an almost entirely new book. ... I was a PhD student in the early 90's, and I have been studying and using it continuously since then. It has accompanied me and many others as a valuable source for results and as a standard reference on the subject. I am sure that this new edition will be serving in the same role as well." (Pietro Celada, Mathematical Reviews, Issue 2008 m) "The present monograph has been ... a 'revised and augmented edition to Direct Methods in the Calculus of Variations'. ... the author maintains a fresh and lucid style, resulting in a concise, very well readable presentation. Surely this book will define a long-lasting standard in its area. ... The exhaustive bibliography comprises 621 references and covers the relevant publications in the area ... ." (Marcus Wagner, Zentralblatt MATH, Vol. 1140, 2008) "This is a substantially extended new edition of the author's introduction to direct methods in the calculus of variations. ... The author has taken great care to include all the main developments in the area since the first edition (the list of references comprises 621 items). The book is carefully written and provides a very readable introduction to the field." (M. Kunzinger, Monatshefte fur Mathematik, Vol. 160 (4), July, 2010)More details
Product info
GB
Series
Language
English
Place of publication
New York, NY
United States
Target group
Research
Edition type
New edition
Product notice
Laminated cover
Illustrations
1, black & white illustrations
Dimensions
Height: 236 mm
Width: 164 mm
Thickness: 34 mm
Weight
980 gr
ISBN-13
978-0-387-35779-9 (9780387357799)
DOI
10.1007/978-0-387-55249-1
Schweitzer Classification
Other editions
Additional editions

Bernard Dacorogna
Direct Methods in the Calculus of Variations
Book
11/2010
2nd Edition
Springer
€181.89
Shipment within 15-20 days

Bernard Dacorogna
Direct Methods in the Calculus of Variations
E-Book
11/2007
2nd Edition
Springer
€171.19
Available for download
Previous edition

Bernard Dacorogna
Direct Methods in the Calculus of Variations
Book
04/1989
Springer
€85.55
Article exhausted; check for reprint
Content
Convex analysis and the scalar case.- Convex sets and convex functions.- Lower semicontinuity and existence theorems.- The one dimensional case.- Quasiconvex analysis and the vectorial case.- Polyconvex, quasiconvex and rank one convex functions.- Polyconvex, quasiconvex and rank one convex envelopes.- Polyconvex, quasiconvex and rank one convex sets.- Lower semi continuity and existence theorems in the vectorial case.- Relaxation and non-convex problems.- Relaxation theorems.- Implicit partial differential equations.- Existence of minima for non-quasiconvex integrands.- Miscellaneous.- Function spaces.- Singular values.- Some underdetermined partial differential equations.- Extension of Lipschitz functions on Banach spaces.