Author

Yang Zhou

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Preprint Jul 2026

Sharp Gradient Stability for the Sobolev Trace Inequality

Let \(n\ge3\) and \(1<p<n\). We prove a quantitative stability estimate for the critical Sobolev trace inequality on the upper half-space. More precisely, the Sobolev trace deficit controls the \(\max\{2,p\}\)-th power of the gradient distance to the manifold of trace bubbles. A central part of the proof is the spectra...

Xi-Nan Ma, Yi-Tian Zhang, Yang Zhou · 2 citations · ⚡1