Gradient stability for the Sobolev inequality: the case \(p\geq 2\) (Q1725573)
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| Language | Label | Description | Also known as |
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| English | Gradient stability for the Sobolev inequality: the case \(p\geq 2\) |
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Gradient stability for the Sobolev inequality: the case \(p\geq 2\) (English)
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14 February 2019
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Summary: We show a strong form of the quantitative Sobolev inequality in \(\mathbb{R}^n\) for \(p\geq 2\), where the deficit of a function \(u\in \dot W^{1,p} \) controls \(\| \nabla u -\nabla v\|_{L^p}\) for an extremal function \(v\) in the Sobolev inequality.
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Sobolev inequality
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stability
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quantitative inequalities
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