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Kolmogorov widths of weighted Sobolev classes on a domain for a special class of weights. II

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Abstract

Our earlier one-dimensional results concerning Kolmogorov widths of weighted Sobolev classes are extended to the multidimensional case.

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Correspondence to A. A. Vasil’eva.

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The research was supported by RFBR under grants nos. 09-01-00093 and 10-01-00442. Continued. The first part was published in Russian Journal of Mathematical Physics, vol. 18. no. 3, pp. 353–385 (2011). The notation is preserved and the indexing of the assertions and formulas is common.

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Vasil’eva, A.A. Kolmogorov widths of weighted Sobolev classes on a domain for a special class of weights. II. Russ. J. Math. Phys. 18, 465–504 (2011). https://doi.org/10.1134/S1061920811040078

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