Sibei Yang

collaborators

4 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…