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We prove a lower semicontinuity result for variational integrals associated with a given first order elliptic complex, extending, in this general setting, a well known result in the case D′(Rn, R) ∇ −→ D′(Rn, R) curl −−→ D′(Rn, Rn×n).

Lower semicontinuity of variational integrals on elliptic complexes