A differential inclusion: the case of an isotropic set
Département de Mathématiques, EPFL, 1015 Lausanne, Switzerland; email@example.com
In this article we are interested in the following problem: to find a map that satisfies where Ω is an open set of and E is a compact isotropic set of . We will show an existence theorem under suitable hypotheses on φ.
Mathematics Subject Classification: 34A60 / 35F30 / 52A30
Key words: Rank one convex hull / polyconvex hull / differential inclusion / isotropic set.
© EDP Sciences, SMAI, 2005