On the stability of a version of nonlocal Sobolev inequality

In this paper, we investigate the stability of the corresponding nonlocal Sobolev inequality ∫ℝN|Δu|2dx≥S∗∫ℝN(|x|−α∗|u|p)updx1p,∀u∈𝒟2,2(ℝN), where [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] is the best constant. More specifically, by utilizing the non-degen...

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Bibliographic Details
Main Authors: Weiwei Ye, Xinyun Zhang
Format: Article
Language:English
Published: World Scientific Publishing 2025-04-01
Series:Bulletin of Mathematical Sciences
Subjects:
Online Access:https://www.worldscientific.com/doi/10.1142/S1664360724500127
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