Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order [formula omitted] and zero

Abstract

In this paper order estimates of the Kolmogorov widths for some weighted Sobolev classes in a weighted Lebesgue space are obtained. The weighted Sobolev classes are defined by a restriction on the weighted Lp1-norm of the highest order derivative and the weighted Lp0-norm of the function.