A density result for homogeneous Sobolev spaces on planar domains
classification
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math.CA
keywords
omegasobolevhomogeneousinftyplanarspacesboundedconnected
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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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