18 citations · 55 across the 29 of their papers we have counts for
3 papers · 1 filter
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…
The double queen Dido's problem
Lorenzo Cavallina, Antoine Henrot, Shigeru Sakaguchi
This paper deals with a variation of the classical isoperimetric problem in dimension for a two-phase piecewise constant density whose discontinuity interface is a given h…
Neutral inclusions, weakly neutral inclusions, and an over-determined problem for confocal ellipsoids
Yong-Gwan Ji, Hyeonbae Kang, Xiaofei Li +1
An inclusion is said to be neutral to uniform fields if upon insertion into a homogenous medium with a uniform field it does not perturb the uniform field at all. It is said to be…