Direct Methods in the Calculus of Variations
2nd Edition
Published on 29. November 2010
Book
Paperback/Softback
XII, 622 pages
978-1-4419-2259-5 (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)More details
Product info
Previously published in hardcover
Series
Edition
2nd ed. Softcover version of original hardcover edition 2008
Language
English
Place of publication
New York, NY
United States
Target group
Research
Product notice
Paperback (trade)
Illustrations
black & white illustrations
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 33 mm
Weight
947 gr
ISBN-13
978-1-4419-2259-5 (9781441922595)
DOI
10.1007/978-0-387-55249-1
Schweitzer Classification
Other editions
Additional editions
Bernard Dacorogna
Direct Methods in the Calculus of Variations
Book
11/2007
2nd Edition
Springer
€181.89
Shipment within 5-7 days
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.