Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10426962 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 15 Pages |
Abstract
We condsider homogenized Nemitskii operators a=a(z),a:RnÃmâRnÃm, defined by a family M of potential elliptic operators div [F(x,âu(x))] with Fâ²(x,·)âM where the set M of strictly convex and continuously differentiable functions F:RnÃmâR is fixed. We show that there exists a (curlm,divm)-quasiconvex function L:RnÃmÃRnÃmâR defined by the set M such that for every homogenized operator a and every zâRnÃm the pair (z,a(z)) belongs to the zero level set of L.
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Authors
Uldis Raitums,