Kexin Zhang

collaborators

3 papers

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…

math.AP2025

Non-convergence of the principal eigenvalue of elliptic operators for large advection

Xueli Bai, Zhi-An Wang, Xin Xu +2

This paper investigates the limit of the principal eigenvalue $λ (s)$ as $s \to + \infty$ for the following elliptic equation \begin{align*} -Δφ(x)-2s\mathbf{v}\cdot\nablaφ(x)+c(x)φ(x)…