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A density result for homogeneous Sobolev spaces on planar domains

Published 9 Jan 2018 in math.FA and math.CA | (1801.02824v1)

Abstract: We show that in a bounded simply connected planar domain $\Omega$ the smooth Sobolev functions $W{k,\infty}(\Omega)\cap C\infty(\Omega)$ are dense in the homogeneous Sobolev spaces $L{k,p}(\Omega)$.

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