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Embeddings of anisotropic Sobolev spaces on unbounded domains

Authors:	Mohan Namasivayam

Institution:	(1) Present address: Mathematics Division, University of Sussex, School of Math. & Physical Sciences, Brighton, England

Abstract:	Summary Integral representations of junctions in the anisotropic Sobolev spaces $\mathop {W^{k,p} }\limits^0 \left( \Omega \right)$ on unbounded domains are used in the study of the embeddings of these spaces into Lebesgue spaces. Estimates of entropy numbers of the embedding $\mathop {W^{k,p} }\limits^0 \left( \Omega \right) \to L^Q \left( \Omega \right)$ are obtained, where k, p and q satisfy certain conditions and where is a certain type of quasibounded domain,

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