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.
Zusammenfassung
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.
Inhalt
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.
Titel
Direct Methods in the Calculus of Variations
Autor
EAN
9780387552491
ISBN
978-0-387-55249-1
Format
E-Book (pdf)
Hersteller
Herausgeber
Genre
Veröffentlichung
21.11.2007
Digitaler Kopierschutz
Wasserzeichen
Dateigrösse
6.18 MB
Anzahl Seiten
622
Jahr
2007
Untertitel
Englisch
Auflage
2nd ed. 2008
Unerwartete Verzögerung
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