Sibei Yang

activity

20242026

collaborators

6 papers

math.AP2026

Sobolev--Morrey Spaces and Divergence-Form Degenerate Second-Order Elliptic Equations on Domains with Higher Co-Dimensional Boundaries

Weiyi Kong, Yoshihiro Sawano, Dachun Yang +2

In this article, we study the weighted homogeneous Sobolev--Morrey spaces on domains in $R^{n}$ with higher co-dimensional boundaries. Precisely, we systematically establish…

math.AP2026

A Counterexample to the Necessity of the Vanishing Carleson Condition for VMO Poisson Kernels

Xiaosheng Lin, Dachun Yang, Sibei Yang +2

In [Problem 3.2.23, CBMS Regional Conference Series in Mathematics 83, 1994], Kenig asked whether the vanishing Carleson condition is the necessary and sufficient for the logarithm…

math.AP2026

A Counterexample to Kenig's Interpolation Problem for Sobolev Spaces with Zero Boundary Conditions

Xiaosheng Lin, Dachun Yang, Sibei Yang +2

Let $n \in N \cap [2, \infty)$ . In this article, we show that there exists a bounded $C^{1}$ domain $I^c ◯ \subset R^{n}$ such that, for any given $s\in(1,2)\setminus\{\frac32\…

math.AP2025

Robin Problems of Elliptic Equations on Rough Domains: HÃ¶lder Regularity, Green's Functions, and Harmonic Measures

Jiayi Wang, Dachun Yang, Sibei Yang

Let $n \geq 2$ and $s \in (n - 2, n)$ . Assume that $I^c ◯ \subset R^{n}$ is a one-sided bounded non-tangentially accessible domain with $s$ -Ahlfors regular boundary and $I ¨ $ is the su…

math.AP2024

Global BMO-Sobolev Estimates for Second-Order Linear Elliptic Equations on Lipschitz Domains

Hongjie Dong, Dachun Yang, Sibei Yang

Let $n \geq 2$ and $I^c ◯ \subset R^{n}$ be a bounded Lipschitz domain. In this article, we establish first-order global regularity estimates in the scale of BMO spaces on $I^c ◯$ f…

math.AP2024

Some remarks on Riesz transform on exterior Lipschitz domains

Renjin Jiang, Sibei Yang

Let $n \geq 2$ and $L = - div (A \nabla \cdot)$ be an elliptic operator on $R^{n}$ . Given an exterior Lipschitz domain $I^c ◯$ , let $L_{D}$ be the elliptic op…