Titlebook: Direct Methods in the Calculus of Variations; Bernard Dacorogna Book 2008Latest edition Springer-Verlag New York 2008 Calculus of Variatio

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DEVIL

弓箭

Convex sets and convex functions Minkowski theorem, also usually better known as Krein-Milman theorem, which is its infinite dimensional version. In Section 2.3, we list some properties of convex functions such as Jensen inequality, the continuity of such functions, the notion of duality and of subdifferential.

山间窄路

莎草

bleach

bleach

Polyconvex, quasiconvex and rank one convex sets the same concepts. We here try to imitate as much as possible the classical approach of convex analysis in the present context. Throughout the two first sections, we follow the presentation of Dacorogna-Ribeiro [213], following earlier results of Dacorogna- Marcellini [202].

WAG

Lower semi continuity and existence theorems in the vectorial case

聋子

Existence of minima for non-quasiconvex integrands

frenzy

https://doi.org/10.1007/978-0-387-40045-7 the same concepts. We here try to imitate as much as possible the classical approach of convex analysis in the present context. Throughout the two first sections, we follow the presentation of Dacorogna-Ribeiro [213], following earlier results of Dacorogna- Marcellini [202].