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Density of Smooth Functions in Sobolev-Orlicz Spaces

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We study the problem on density of smooth functions in Sobolev spaces of variable orders, also called Sobolev-Orlicz spaces. In particular, we generalize the earlier obtained logarithmic condition and give a number of examples. Bibliography: 9 titles.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 310, 2004, pp. 67–81.

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Zhikov, V.V. Density of Smooth Functions in Sobolev-Orlicz Spaces. J Math Sci 132, 285–294 (2006). https://doi.org/10.1007/s10958-005-0497-0

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  • DOI: https://doi.org/10.1007/s10958-005-0497-0

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