Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840483 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 9 Pages |
Abstract
We give a Sobolev inequality with the weight K(x)K(x) belonging to the class A2∩GnA2∩Gn for the function |u|t|u|t and the weight K(x)−1K(x)−1 for |∇u|2|∇u|2. The constant in the relevant inequality is seen to depend on the GnGn and A2A2 constants of the weight.
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Authors
Angela Alberico, Teresa Alberico, Carlo Sbordone,