Relaxation of Quasilinear Elliptic Systems A-quasiconvex Envelopes
Uldis Raitums (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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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 ...