Gradient Stability for the Sobolev Inequality: the Case
نویسنده
چکیده
We prove a strong form of the quantitative Sobolev inequality in R for p ≥ 2, where the deficit of a function u ∈ Ẇ 1,p controls ‖∇u−∇v‖Lp for an extremal function v in the Sobolev inequality.
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