Geodesic
On Imbeddings of Weighted Sobolev Spaces on an Unbounded Domain
Publications de l'Institut Mathématique, _N_S_56 (1994) no. 70, p. 79

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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 : 46E35 
@article{PIM_1994_N_S_56_70_a10,
     author = {Pankaj Jain},
     title = {On {Imbeddings} of {Weighted} {Sobolev} {Spaces} on an {Unbounded} {Domain}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {79 },
     publisher = {mathdoc},
     volume = {_N_S_56},
     number = {70},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1994_N_S_56_70_a10/}
}
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Pankaj Jain. On Imbeddings of Weighted Sobolev Spaces on an Unbounded Domain. Publications de l'Institut Mathématique, _N_S_56 (1994) no. 70, p. 79 . http://geodesic.mathdoc.fr/item/PIM_1994_N_S_56_70_a10/