PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 56(70), pp. 7989 (1994) 

On imbeddings of weighted Sobolev spaces on an unbounded domainPankaj JainDepartment of Mathematics, Deshbandhu College (University of Delhi), Kalkaji, New Delhi, IndiaAbstract: We obtained (necessary and sufficient) conditions on the weight functions $v_0$, $v_1$ and $w$ for the imbedding $W^{1,p} (\Omega; v_0, v_1) \hookrightarrow W^{1,p}(\Omega; w)$ where $\Omega$ is an unbounded domain with nonempty boundary. It is shown that in the case when $v_0 = v_1$ the imbedding holds under weaker conditions. Classification (MSC2000): 46E35 Full text of the article:
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