collaborators

6 papers

math.DG2026

Sharp stability of Alexandrov's theorem for domains in the small-excess regime

Alessio Figalli, Yi Ru-Ya Zhang

We prove a sharp quantitative stability result for Alexandrov's theorem in arbitrary dimension for bounded open sets in a small-excess regime. More precisely, if $E\subset \m…

math.FA2026

Planar -extension domains

Pekka Koskela, Tapio Rajala, Yi Ru-Ya Zhang

We show that a bounded planar simply connected domain is a -extension domain if and only if for every pair of points in there exists a curve $γ\subset…

math.FA2026

Geometric properties of Euclidean domains supporting trace inequalities

Weicong Su, Zhuang Wang, Yi Ru-Ya Zhang

We investigate the geometric behavior of for bounded finite-perimeter sets , where is the trace constant introduced by Figalli--Maggi--Pratel…

math.AP2026

Serrin's overdetermined theorem within Lipschitz domains

Hongjie Dong, Yi Ru-Ya Zhang

Let be a Lipschitz domain. We prove that, satisfies the following Serrin-type overdetermined system $$u \in W^{1,2}(\mathbb R^n), \quad u=0\ \text{ a.e.…

math.AP2025

Sharp stability for critical points of the Sobolev inequality in the absence of bubbling

Gemei Liu, Yi Ru-Ya Zhang

When is close to a single Talenti bubble of the -Sobolev inequality, we show that \begin{equation*} \|Du-Dv\|_{L^p(\mathbb{R}^n)}^{\max\{1,p-1\}}\le C \|-{\rm div}(|Du|^…

math.AP2025

A growth estimate for the planar Mumford--Shah minimizers at a tip point: An alternative proof of David--Léger

Yi Ru-Ya Zhang

Let be a bounded domain and be a local minimizer of the Mumford--Shah problem in the plane, with being a tip point and…