We consider a system of quasilinear parabolic type equations involving operator curl associated with the Maxwell equations in a multi-connected domain. The paper is a continuation of the author's previous paper. We deal with a variational inequality with curl constraint. It is an extension of the results of Miranda et al. for $p$-curl system.
"Variational Inequality with Evolutional Curl Constraint in a Multi-Connected Domain." Commun. Math. Anal. 20 (1) 1 - 26, 2017.