A Differential Inclusion: the Case of an Isotropic Set
نویسنده
چکیده
In this article we are interested in the following problem: to find a map u : Ω → R that satisfies { Du ∈ E a.e. in Ω u(x) = φ(x) x ∈ ∂Ω where Ω is an open set of R and E is a compact isotropic set of R2×2. We will show an existence theorem under suitable hypotheses on φ. Mathematics Subject Classification. 34A60, 35F30, 52A30. Received May 14, 2004.
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