论文标题

$ \ mathbb h^n $中凸形域的基本差距消失

The vanishing of the fundamental gap of convex domains in $\mathbb H^n$

论文作者

Bourni, Theodora, Clutterbuck, Julie, Nguyen, Xuan Hien, Stancu, Alina, Wei, Guofang, Wheeler, Valentina-Mira

论文摘要

对于具有$ \ mathbb h^n $,$ n \ geq 2 $的凸面域上具有差异域边界条件的拉普拉斯操作员,我们证明,直径正方形的基本间隙的产物对于任何直径的域而言可能很小。

For the Laplace operator with Dirichlet boundary conditions on convex domains in $\mathbb H^n$, $n\geq 2$, we prove that the product of the fundamental gap with the square of the diameter can be arbitrarily small for domains of any diameter.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源