Xin Xu

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20232026

most citedA Counterexample for the Principal Eigenvalue of An Elliptic Operator with Large Advection

1 citations · 1 across the 3 of their papers we have counts for

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math.AP2026

Asymptotics of the principal eigenvalue of an elliptic operator on closed and orientable Riemannian manifolds: small diffusion

Xin Xu, Kexin Zhang

This paper is concerned with the asymptotic behavior of the principal eigenvalue $λ (D)$ of the elliptic eigenvalue problem \[ -DΔ_{M}u - a\langle \nabla_M f, \nabla_M u\rangle_g +…

math.AP2026

Asymptotics of the principal eigenvalue of an elliptic operator on closed and orientable Riemannian manifolds

Xin Xu, Kexin Zhang

This paper investigates the asymptotic behavior of the principal eigenvalue $λ (s)$ , as $s \to + \infty$ , for the following elliptic eigenvalue problem \begin{equation*}\label{E} -Δ_{M…