3 papers
math.AP2021
The principal eigenfunction of the Dirichlet Laplacian with prescribed numbers of critical points on the upper half of a topological torus
Putri Zahra Kamalia, Shigeru Sakaguchi
We consider the principal eigenvalue problem for the Laplace-Beltrami operator on the upper half of a topological torus under the Dirichlet boundary condition. We present a constru…
math.AP2020
Patterns with prescribed numbers of critical points on topological tori
Putri Zahra Kamalia, Shigeru Sakaguchi
We study the existence of critical points of stable stationary solutions to reaction-diffusion problems on topological tori. Stable nonconstant stationary solutions are often calle…
math.AP2019
A construction of patterns with many critical points on topological tori
Putri Zahra Kamalia, Shigeru Sakaguchi
We consider reaction-diffusion equations on closed surfaces in having genus . Stable nonconstant stationary solutions are often called patterns. The purpose of thi…