Yi-Tian Zhang

collaborators

2 papers

math.AP2026

The complete spectrum of the linearized $p$ -Laplacian at a Sobolev extremal

Yitian Zhang

Let $1 < p < n$ and let $v (x) = (1 + ∣ x ∣^{p / (p - 1)})^{- (n - p) / p}$ be the standard radial extremal for the sharp Sobolev inequality. We determine all eigenvalues and eigenspaces of the linear…

math.AP2026

Sharp Gradient Stability for the Sobolev Trace Inequality

Xi-Nan Ma, Yitian Zhang, Yang Zhou

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…

The complete spectrum of the linearized p-Laplacian at a Sobolev extremal

Sharp Gradient Stability for the Sobolev Trace Inequality

The complete spectrum of the linearized $p$ -Laplacian at a Sobolev extremal