Direct Methods in the Calculus of Variations
(Sprache: Englisch)
This book is developed for the study of vectorial problems in the calculus of variations. It is a new edition of the earlier book published in 1989. Almost half of the book consists of new material and there are added examples.
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This book is developed for the study of vectorial problems in the calculus of variations. It is a new edition of the earlier book published in 1989. Almost half of the book consists of new material and there are added examples.
Klappentext zu „Direct Methods in the Calculus of Variations “
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.
Inhaltsverzeichnis zu „Direct Methods in the Calculus of Variations “
- Introduction- The scalar case
- Convex sets and convex functions
- Lower semicontinuity and existence theorems
- The one dimensional case
- 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
Bibliographische Angaben
- Autor: Bernard Dacorogna
- 2007, 2nd ed., 622 Seiten, 10 Abbildungen, Maße: 16,4 x 23,6 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387357793
- ISBN-13: 9780387357799
Sprache:
Englisch
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