Geodesic
Widths of Sobolev weight classes on a~domain with cusp
Sbornik. Mathematics, Tome 206 (2015) no. 10, pp. 1375-1409

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Order estimates for the Kolmogorov, Gelfand and linear widths of the unit ball in weighted Sobolev space on a domain with cusp in a weighted Lebesgue space are obtained. Certain limit conditions on the parameters are considered for which the estimates for widths may differ from those in the case of weight one and a domain with Lipschitz boundary. Bibliography: 52 titles.
Keywords: width, domain with cusp, weighted Sobolev space. 
@article{SM_2015_206_10_a1,
     author = {A. A. Vasil'eva},
     title = {Widths of {Sobolev} weight classes on a~domain with cusp},
     journal = {Sbornik. Mathematics},
     pages = {1375--1409},
     publisher = {mathdoc},
     volume = {206},
     number = {10},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2015_206_10_a1/}
}
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A. A. Vasil'eva. Widths of Sobolev weight classes on a~domain with cusp. Sbornik. Mathematics, Tome 206 (2015) no. 10, pp. 1375-1409. http://geodesic.mathdoc.fr/item/SM_2015_206_10_a1/