A Sobolev inequality with reciprocal weights
We give a Sobolev inequality with the weight K(x) belonging to the class A2∩Gn for the function |u|t and the weight K(x)−1 for |∇u|2. The constant in the relevant inequality is seen to depend on the Gn and A2 constants of the weight.
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| Veröffentlicht in: | Nonlinear analysis 2012-09, Vol.75 (13), p.5348-5356 |
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| container_end_page | 5356 |
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| container_issue | 13 |
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| container_title | Nonlinear analysis |
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| creator | Alberico, Angela Alberico, Teresa Sbordone, Carlo |
| description | We give a Sobolev inequality with the weight K(x) belonging to the class A2∩Gn for the function |u|t and the weight K(x)−1 for |∇u|2. The constant in the relevant inequality is seen to depend on the Gn and A2 constants of the weight. |
| doi_str_mv | 10.1016/j.na.2012.04.049 |
| format | Article |
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| subjects | Fractional integrals Inequalities Muckenhoupt and Gehring classes Nonlinearity Sobolev inequalities Weighted inequalities Weights |
| title | A Sobolev inequality with reciprocal weights |
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