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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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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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. http://geodesic.mathdoc.fr/articles/10.4064/am29-1-6/

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