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On imbedding theorems for weighted anisotropic Sobolev spaces

Wojciech M. Zajączkowski

Applicationes Mathematicae (2002)

  • Volume: 29, Issue: 1, page 51-63
  • ISSN: 1233-7234

Abstract

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Using the Il'in integral representation of functions, imbedding theorems for weighted anisotropic Sobolev spaces in 𝔼ⁿ are proved. By the weight we assume a power function of the distance from an (n-2)-dimensional subspace passing through the domain considered.

How to cite

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Wojciech M. Zajączkowski. "On imbedding theorems for weighted anisotropic Sobolev spaces." Applicationes Mathematicae 29.1 (2002): 51-63. <http://eudml.org/doc/279741>.

@article{WojciechM2002,
abstract = {Using the Il'in integral representation of functions, imbedding theorems for weighted anisotropic Sobolev spaces in 𝔼ⁿ are proved. By the weight we assume a power function of the distance from an (n-2)-dimensional subspace passing through the domain considered.},
author = {Wojciech M. Zajączkowski},
journal = {Applicationes Mathematicae},
keywords = {weighted Sobolev spaces; imbedding theorems; anisotropic Sobolev spaces},
language = {eng},
number = {1},
pages = {51-63},
title = {On imbedding theorems for weighted anisotropic Sobolev spaces},
url = {http://eudml.org/doc/279741},
volume = {29},
year = {2002},
}

TY - JOUR
AU - Wojciech M. Zajączkowski
TI - On imbedding theorems for weighted anisotropic Sobolev spaces
JO - Applicationes Mathematicae
PY - 2002
VL - 29
IS - 1
SP - 51
EP - 63
AB - Using the Il'in integral representation of functions, imbedding theorems for weighted anisotropic Sobolev spaces in 𝔼ⁿ are proved. By the weight we assume a power function of the distance from an (n-2)-dimensional subspace passing through the domain considered.
LA - eng
KW - weighted Sobolev spaces; imbedding theorems; anisotropic Sobolev spaces
UR - http://eudml.org/doc/279741
ER -

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