We consider the weak closure of the set of all feasible pairs (solution, flow) of the family of potential elliptic systems
where is a bounded Lipschitz domain, are strictly convex smooth functions with quadratic growth and . We show that is the zero level set for an integral functional with the integrand being the -quasiconvex envelope for a certain function and the operator . If the functions are isotropic, then on the characteristic cone (defined...
We consider the weak closure of the set of all feasible pairs (solution, flow) of the
family of potential elliptic systems
where Ω ⊂
is a bounded Lipschitz domain,
are strictly convex smooth
functions with quadratic growth and .
We show that is the zero level set for an integral functional with the integrand being
the -quasiconvex envelope for a certain function and the operator = (curl,div).
If the functions
are isotropic,...
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