Yi-Ru-Ya Zhang

activity

20152026

most citedA density problem for Sobolev spaces on planar domains

10 citations · 21 across the 20 of their papers we have counts for

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3 papers · 1 filter

math.OC2024

Sobolev trace inequalities on John domains and its applications

Weicong Su, Yi Ru-Ya Zhang

We prove that a trace inequality holds for John domains $Ω$ satisfying $H^{n - 1} (\partial Ω ∖ \partial_{*} Ω) = 0,$ where $\partial_{*} Ω$ denotes the measure-theoretic b…

math.OC2024

Carrot John domains in variational problems

Weicong Su, Yi Ru-Ya Zhang

In this paper, we explore carrot John domains within variational problems, dividing our examination into two distinct sections. The initial part is dedicated to establishing the lo…

math.OC2023

Strong stability of convexity with respect to the perimeter

Alessio Figalli, Yi Ru-Ya Zhang

Let $E \subset R^{n}$ , $n \geq 2$ , be a set of finite perimeter with $∣ E ∣ = ∣ B ∣$ , where $B$ denotes the unit ball. When $n = 2$ , since convexification decreases perimeter (in the cl…