In this article, we obtain the order estimates for the Kolmogorov widths of sets with conditions on the norm in the weighted Sobolev space $W^r_{p_1}$ and in the weighted space $L_{p_0}$.
Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order r and zero
Widths of weighted Sobolev classes on a domain with a peak: some limiting cases
Widths of weighted Sobolev classes with weights that are functions of distance to some h-set: some limiting cases
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