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Lower semicontinuity of L∞ functionals

✍ Scribed by E.N. Barron; R.R. Jensen; C.Y. Wang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
172 KB
Volume
18
Category
Article
ISSN
0294-1449

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✦ Synopsis

We study the lower semicontinuity properties and existence of a minimizer of the functional

We introduce the notions of Morrey quasiconvexity, polyquasiconvexity, and rank-one quasiconvexity, all stemming from the notion of quasiconvexity (= convex level sets) of f in the last variable. We also formally derive the Aronsson-Euler equation for such problems.  2001 Éditions scientifiques et médicales Elsevier SAS

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