On imbedding theorems for weighted anisotropic Sobolev spaces
Wojciech M. Zajączkowski
Applicationes Mathematicae, Tome 29 (2002), p. 51-63 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:279741 
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     title = {On imbedding theorems for weighted anisotropic Sobolev spaces},
     journal = {Applicationes Mathematicae},
     volume = {29},
     year = {2002},
     pages = {51-63},
     zbl = {1015.46015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-1-6}
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Wojciech M. Zajączkowski. On imbedding theorems for weighted anisotropic Sobolev spaces. Applicationes Mathematicae, Tome 29 (2002) pp. 51-63. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-1-6/