Article ID Journal Published Year Pages File Type
840483 Nonlinear Analysis: Theory, Methods & Applications 2012 9 Pages PDF
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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Physical Sciences and Engineering Engineering Engineering (General)
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