Geodesic
Existence of a Solution to a Stationary Quasi-Variational Inequality in a Multi-Connected Domain
Journal of convex analysis, Tome 28 (2021) no. 1, pp. 237-25
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We consider a stationary quasi-variational inequality in a multi-connected domain and show the existence of a solution to the inequality. The problem is related to the Bean critical-state model in type II superconductors. Mathematically, we are concerned with a quasi-variational inequality containing a p-curl inequality with a curl constraint by a function of the solution.
Classification : 35A15, 35J20, 35H30, 35D05, 35Q60
Mots-clés : Quasi-variational inequality, stationary variational problem, existence of solution 
@article{JCA_2021_28_1_JCA_2021_28_1_a15,
     author = {J. Aramaki},
     title = {Existence of a {Solution} to a {Stationary} {Quasi-Variational} {Inequality} in a {Multi-Connected} {Domain}},
     journal = {Journal of convex analysis},
     pages = {237--25},
     year = {2021},
     volume = {28},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2021_28_1_JCA_2021_28_1_a15/}
}
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J. Aramaki. Existence of a Solution to a Stationary Quasi-Variational Inequality in a Multi-Connected Domain. Journal of convex analysis, Tome 28 (2021) no. 1, pp. 237-25. http://geodesic.mathdoc.fr/item/JCA_2021_28_1_JCA_2021_28_1_a15/