Relaxation of quasilinear elliptic systems via A-quasiconvex envelopes
Uldis Raitums (2002)
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 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...