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تسجيل مستخدم جديدGradient stability for the Sobolev inequality: the case $pgeq 2$
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We prove a strong form of the quantitative Sobolev inequality in $mathbb{R}^n$ for $pgeq 2$, where the deficit of a function $uin dot W^{1,p} $ controls $| abla u - abla v|_{L^p}$ for an extremal function $v$ in the Sobolev inequality.
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