标题： 退化大对流下一类椭圆算子主特征值的极限行为 显示英文标题

标题： Limiting behavior of principal eigenvalues for a class of elliptic operators with degenerate large advection

摘要： 在本文中，我们表明，在许多情况下，Chen 和 Lou 的定理 1.2\cite{ChLo}在对流项$-2sm'(x)$的函数$m(x)$在其最大值处高度退化时仍然有效。 我们的主要结果确立了主特征值的极限行为与$m(x)-m(x_0)$在$x=x_0$处零点的阶数无关，其中$m(x_0)=\|m\|_\infty$。 陈和娄定理1.2\cite{ChLo}强加$m''(x_0)<0$ 显示英文摘要

摘要： In this paper we show that, in a number of circumstances, Theorem 1.2 of Chen and Lou \cite{ChLo} remains valid even when the function $m(x)$ of the advection term $-2sm'(x)$ is highly degenerate at its maximum. Our main result establishes that the limiting behavior of the principal eigenvalue is independent of the order of the zero of $m(x)-m(x_0)$ at $x=x_0$, where $m(x_0)=\|m\|_\infty$. Theorem 1.2 of Chen and Lou \cite{ChLo} imposed $m''(x_0)<0$.