Direct Methods in the Calculus of Variations : Bernard Dacorogna.

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 en...

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Detaylı Bibliyografya
Yazar: Dacorogna, Bernard, 1953-
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edisyon:2nd ed. 2008.
Seri Bilgileri:Applied Mathematical Sciences 78
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Not: L'impression du document génère 632 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Direct methods in the calculus of variations, Bernard Dacorogna, 2nd edition, New York, Springer, 2008, 1 vol. (XII-619 p.), Applied mathematical sciences, 978-0-387-35779-9
İçindekiler:
  • 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