Article ID Journal Published Year Pages File Type
10426962 Nonlinear Analysis: Theory, Methods & Applications 2005 15 Pages PDF
Abstract
We condsider homogenized Nemitskii operators a=a(z),a:Rn×m→Rn×m, defined by a family M of potential elliptic operators div [F(x,∇u(x))] with F′(x,·)∈M where the set M of strictly convex and continuously differentiable functions F:Rn×m→R is fixed. We show that there exists a (curlm,divm)-quasiconvex function L:Rn×m×Rn×m→R defined by the set M such that for every homogenized operator a and every z∈Rn×m the pair (z,a(z)) belongs to the zero level set of L.
Keywords
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
,