Integral representations of functions which belong to weighted Sobolev classes in regions, with applications. I

V. G. Perepelkin

doi:10.1007/bf00969295

Integral representations of functions which belong to weighted Sobolev classes in regions, with applications. I

Siberian Mathematical Journal ◽

10.1007/bf00969295 ◽

1976 ◽

Vol 17 (1) ◽

pp. 96-112

Author(s):

V. G. Perepelkin

Keyword(s):

Integral Representations ◽

Sobolev Classes ◽

Weighted Sobolev Classes

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Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order r and zero

Journal of Approximation Theory ◽

10.1016/j.jat.2021.105602 ◽

2021 ◽

pp. 105602

Author(s):

A.A. Vasil’eva

Keyword(s):

Sobolev Classes ◽

Weighted Sobolev Classes ◽

Kolmogorov Widths ◽

Derivatives Of ◽

Dimensional Domain

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Kolmogorov widths of weighted Sobolev classes on closed intervals

Mathematical Notes ◽

10.1134/s0001434608110047 ◽

2008 ◽

Vol 84 (5-6) ◽

pp. 631-635

Author(s):

A. A. Vasil’eva

Keyword(s):

Sobolev Classes ◽

Closed Intervals ◽

Weighted Sobolev Classes ◽

Kolmogorov Widths

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Widths of weighted Sobolev classes whose weights are functions of the distance to an h-set

Doklady Mathematics ◽

10.1134/s106456241407014x ◽

2014 ◽

Vol 90 (3) ◽

pp. 685-687

Author(s):

A. A. Vasil’eva

Keyword(s):

Sobolev Classes ◽

Weighted Sobolev Classes

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Embedding theorem for weighted Sobolev classes on a John domain with weights that are functions of the distance to some h-set

Russian Journal of Mathematical Physics ◽

10.1134/s1061920813030102 ◽

2013 ◽

Vol 20 (3) ◽

pp. 360-373 ◽

Cited By ~ 10

Author(s):

A. A. Vasil’eva

Keyword(s):

Embedding Theorem ◽

John Domain ◽

Sobolev Classes ◽

Weighted Sobolev Classes

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KOLMOGOROV WIDTHS OF WEIGHTED SOBOLEV CLASSES WITH “SMALL” SINGULARITY SETS

Eurasian Mathematical Journal ◽

10.32523/2077-9879-2019-10-1-89-92 ◽

2019 ◽

Vol 10 (1) ◽

pp. 89-92

Author(s):

Anastasia Vasil’eva ◽

Keyword(s):

Sobolev Classes ◽

Weighted Sobolev Classes ◽

Kolmogorov Widths

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Widths of weighted sobolev classes on a John domain

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543813010069 ◽

2013 ◽

Vol 280 (1) ◽

pp. 91-119 ◽

Cited By ~ 14

Author(s):

A. A. Vasil’eva

Keyword(s):

John Domain ◽

Sobolev Classes ◽

Weighted Sobolev Classes

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Embedding theorem for weighted Sobolev classes with weights that are functions of the distance to some h-set

Russian Journal of Mathematical Physics ◽

10.1134/s1061920814010075 ◽

2014 ◽

Vol 21 (1) ◽

pp. 112-122 ◽

Cited By ~ 10

Author(s):

A. A. Vasil’eva

Keyword(s):

Embedding Theorem ◽

Sobolev Classes ◽

Weighted Sobolev Classes

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Estimates for the widths of weighted Sobolev classes

Sbornik Mathematics ◽

10.1070/sm2010v201n07abeh004098 ◽

2010 ◽

Vol 201 (7) ◽

pp. 947-984 ◽

Cited By ~ 2

Author(s):

Anastasia A Vasil'eva

Keyword(s):

Sobolev Classes ◽

Weighted Sobolev Classes

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ORDER ESTIMATES FOR THE KOLMOGOROV WIDTHS OF WEIGHTED SOBOLEV CLASSES WITH RESTRICTIONS ON DERIVATIVES

Eurasian Mathematical Journal ◽

10.32523/2077-9879-2020-11-4-95-100 ◽

2020 ◽

Vol 11 (4) ◽

pp. 95-100

Author(s):

Anastasia Vasil’eva ◽

Keyword(s):

Sobolev Classes ◽

Weighted Sobolev Classes ◽

Kolmogorov Widths

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Widths of weighted Sobolev classes on a closed interval and the spectra of nonlinear differential equations

Russian Journal of Mathematical Physics ◽

10.1134/s106192081003009x ◽

2010 ◽

Vol 17 (3) ◽

pp. 363-393 ◽

Cited By ~ 1

Author(s):

A. A. Vasil’eva

Keyword(s):

Differential Equations ◽

Closed Interval ◽

Nonlinear Differential Equations ◽

Sobolev Classes ◽

Weighted Sobolev Classes

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