Wen Yuan

collaborators

24 papers

math.CA2026

$Γ$ -Convergence of Weak-Type Nonlocal Functionals on Bounded Domains

Xiaosheng Lin, Dachun Yang, Sibei Yang +2

Let $N \geq 1$ , $p \in [1, \infty)$ , $γ \in (0, \infty)$ , and $Ω \subset R^{N}$ be a bounded open interval when $N = 1$ or a bounded Lipschitz domain when $N \geq 2$ . For any $λ\in(0,\infty)…

eess.SP2026

Deterministic Maximum Likelihood Direction Finding in the Mixture Noise of Gaussian and Spherically Invariant Components

Mingyan Gong

Spherically invariant (SI) random processes can model impulsive noise and unreliable measurements. Recently, the mixture noise of Gaussian and SI components has been used in determ…

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.FA2026

Compactness and Its Applications of Sobolev Spaces Associated with Ball Banach Function Spaces

Xiaosheng Lin, Dachun Yang, Wen Yuan +1

Let $N \in N \cap [2, \infty),$ $I^c ◯$ be a bounded Lipschitz domain in $R^{N}$ , and $X (I^c ◯)$ be a ball Banach function space on $I^c ◯ .$ In this article, under some mild assu…

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\…

Γ-Convergence of Weak-Type Nonlocal Functionals on Bounded Domains

Deterministic Maximum Likelihood Direction Finding in the Mixture Noise of Gaussian and Spherically Invariant Components

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

Compactness and Its Applications of Sobolev Spaces Associated with Ball Banach Function Spaces

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

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

$Γ$ -Convergence of Weak-Type Nonlocal Functionals on Bounded Domains