Best constant in weighted sobolev inequality with weights being powers of distance from the origin
We study the best constant in Sobolev inequality with weights being powers of distance from the origin in â„Ân. In this variational problem, the invariance of â„Ân by the group of dilatations creates some possible loss of compactness. As a result we will see that the existence of extremals an...
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| Format: | Article |
| Language: | English |
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SpringerOpen
1997-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1025583497000180 |