Xin Liao

activity

20232026

Δ u - u + ∣ u ∣^{p - 1} u

near a finite sums of ground states

1 citations · 1 across the 10 of their papers we have counts for

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math.AP2026

Sharp stability near sums of ground states for fractional Schrödinger equations

Hua Chen, Yun-Lu Fan, Xin Liao

We study quantitative stability for the fractional Schrödinger equation $(- Δ)^{s} u + u - ∣ u ∣^{α} u = 0$ near finite sums of widely separated positive ground states. For every $n \geq 1$ , $0<s<1…

math.DG2026

Heat Flow under Semi-Flat Collapse with Conic Renormalization

Xin Yu Liao

Motivated by the SYZ picture for the collapsing of elliptic K3 surfaces, we study heat kernels under semi-flat collapse of Ricci-flat Kähler manifolds (X_t, g(t)) fibered by flat 2…