On imbeddings of weighted Sobolev spaces


Abstract


We obtained the continuous (and also compact) imbedding (Error rendering LaTeX formula) under certain conditions on weights, where ω is a bounded domain in R<sup>N</sup>. Also, for the case \nu<sub>0</sub>=\nu<sub>1</sub>, this imbedding is shown to exist under less restrictive conditions. Finally, the imbedding
already obtained by Gurka and Opic [3], is established under a different set of conditions.

DOI Code: 10.1285/i15900932v15n1p31

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