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20232025
most citedA Counterexample for the Principal Eigenvalue of An Elliptic Operator with Large Advection

1 citations · 1 across the 2 of their papers we have counts for

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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 as for the following elliptic equation \begin{align*} -Δφ(x)-2s\mathbf{v}\cdot\nablaφ(x)+c(x)φ(x)…

math.AP2024

Exact blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions

Xueli Bai, Maolin Zhou

In this paper, we obtain the exact blow-up profiles of solutions of the Keller-Segel-Patlak system in the space with dimensions , which solves an open problem proposed by P…

math.AP2023★ 1 cited

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

Xueli Bai, Xin Xu, Kexin Zhang +1

There are numerous studies focusing on the convergence of the principal eigenvalue as corresponding to the elliptic eigenvalue problem \begin{align*} -Δφ(x)-2s…