Geodesic
Sobolev Embedding Theorems for a~Class of Anisotropic Irregular Domains
Informatics and Automation, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 297-319.

Voir la notice de l'article provenant de la source Math-Net.Ru

Sufficient conditions for the embedding of a Sobolev space in Lebesgue spaces on a domain depend on the integrability and smoothness parameters of the spaces and on the geometric features of the domain. In the present paper, Sobolev embedding theorems are obtained for a class of domains with irregular boundary; this class includes the well-known classes of $\sigma$-John domains, domains with the flexible cone condition, and their anisotropic analogs. 
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     url = {http://geodesic.mathdoc.fr/item/TRSPY_2008_260_a19/}
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Boris V. Trushin. Sobolev Embedding Theorems for a~Class of Anisotropic Irregular Domains. Informatics and Automation, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 297-319. http://geodesic.mathdoc.fr/item/TRSPY_2008_260_a19/

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