Global boundedness of the curl for a p-curl system in convex domains
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math.AP
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systemconvexcurlapproximationbeanboundedboundednesscomes
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In this paper, we study a semilinear system involving the curl operator in a bounded and convex domain in $R^3$, which comes from the steady-state approximation for Bean critical-state model for type-II superconductors. We show the existence and the $L^{\infty}$ estimate for weak solutions to this system.
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