3 papers
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.OC2026
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 satisfying where denotes the measure-theoret…
math.OC2025
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…