Effects of large degenerate advection and boundary conditions on the principal eigenvalue and its eigenfunction of a linear second order elliptic operator

Rui Peng, Maolin Zhou

In this article, we study, as the coefficient $s\to \infty$, the asymptotic behavior of the principal eigenvalue of $$-{\phi }^{\prime \prime }(x)-2s{m}^{\prime }(x){\phi }^{\prime }(x)+c(x)\phi (x)={\lambda }_s\phi (x),0<x<1,$$ supplemented…