Yidong Shi

collaborators

2 papers

math.FA2026

Bounded Representatives in Critical Sobolev-Hodge Spaces

Xinan Dai, Wenhao Deng, Yidong Shi +2

Let $n \geq 2$ , $1 \leq ℓ \leq n - 1$ , and $1 < p < \infty$ . We prove that every $v \in W ˙^{n / p, p} (R^{n}; Λ^{ℓ})$ has a representative $u \in W ˙^{n / p, p} \cap L^{\infty}$ with $…

math.GR2026

A Finite E-Group of Nilpotency Class Three

Xinan Dai, Wenhao Deng, Yidong Shi +2

A group is an E-group if every element commutes with each of its endomorphic images. Caranti asked whether a finite E-group can have nilpotency class three. We prove that the $3$ -g…