Tian Liang

collaborators

2 papers

math.FA2024

Local Sobolev-Poincare imbedding domains

Tian Liang, Zheng Zhu

In this article, we study local Sobolev-PoincarÃ© imbedding domains. The main result reads as below. \begin{enumerate} \item for $1 \leq p \leq n$ , a bounded uniform domain is also a…

math.FA2024

Shangying Feng, Tian Liang

Given a bounded domain $I^c ◯ \subset R^{n}$ with $n \geq 2$ , let $I ¨ $ is a Young function satisfying the doubling condition with the constant $K_{I ¨} < 2^{n}$ . If $I^c ◯$ is a John do…

Local Sobolev-Poincare imbedding domains

A (I¨n​,I¨)-PoincarÃ© inequality on John domain

A $(I ¨ _{n}, I ¨ )$ -PoincarÃ© inequality on John domain