3 papers
math.DG2026
Isoperimetry by stretching
Kobe Marshall-Stevens, Gongping Niu
We construct isoperimetric regions from separating hypersurfaces in closed manifolds. This yields isoperimetric boundaries exhibiting a wide variety of topological types and singul…
math.DG2025
Generic regularity of isoperimetric regions in dimension eight
Kobe Marshall-Stevens, Gongping Niu, Davide Parise
We establish generic regularity results for isoperimetric regions in closed Riemannian manifolds of dimension eight. In particular, we show that every isoperimetric region has a sm…
math.AP2025
Gradient flow of phase transitions with fixed contact angle
Kobe Marshall-Stevens, Mayu Takada, Yoshihiro Tonegawa +1
We study the gradient flow of the Allen-Cahn equation with fixed boundary contact angle in Euclidean domains for initial data with bounded energy. Under general assumptions, we est…