Geodesic
On imbedding theorems for weighted anisotropic Sobolev spaces
Wojciech M. Zaj/aczkowski1
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-950 Warszawa, Poland and Institute of Mathematics and Operations Research Military University of Technology S. Kaliskiego 2 00-908 Warszawa, Poland
Applicationes Mathematicae, Tome 29 (2002) no. 1, pp. 51-63 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Using the Il'in integral representation of functions, imbedding theorems for weighted anisotropic Sobolev spaces in ${\Bbb E}^n$ are proved. By the weight we assume a power function of the distance from an $(n-2)$-dimensional subspace passing through the domain considered.
DOI : 10.4064/am29-1-6
Keywords: using ilin integral representation functions imbedding theorems weighted anisotropic sobolev spaces bbb proved weight assume power function distance n dimensional subspace passing through domain considered

Wojciech M. Zaj/aczkowski 1

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-950 Warszawa, Poland and Institute of Mathematics and Operations Research Military University of Technology S. Kaliskiego 2 00-908 Warszawa, Poland 
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  weighted anisotropic Sobolev spaces
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Wojciech M. Zaj/aczkowski. On imbedding theorems for
  weighted anisotropic Sobolev spaces. Applicationes Mathematicae, Tome 29 (2002) no. 1, pp. 51-63. doi: 10.4064/am29-1-6

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