2 papers
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 , as , for the following elliptic eigenvalue problem \begin{equation*}\label{E} -Î_…
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*} -ÎÏ(x)-2s\mathbf{v}\cdot\nablaÏ(x)+c(x)…