论文标题
关于Laplace本征函数的关键集的一些评论
Some remarks on critical sets of Laplace eigenfunctions
论文作者
论文摘要
我们研究了$ΔU=λ\ cdot u $的解决方案的关键点集，尤其是具有编纂1的临界组的组件。
We study the set of critical points of a solution to $Δu = λ\cdot u$ and in particular components of the critical set that have codimension 1. We show, for example, that if a second Neumann eigenfunction of a simply connected polygon $P$ has infinitely many critical points, then $P$ is a rectangle.
