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math.FA2024
Sobolev Versus Homogeneous Sobolev Extension
Pekka Koskela, Riddhi Mishra, Zheng Zhu
In this paper, we study the relationship between Sobolev extension domains and homogeneous Sobolev extension domains. Precisely, we obtain the following results. 1- Let $1\leq q\le…
math.FA2024
Local Sobolev-Poincare imbedding domains
Tian Liang, Zheng Zhu
In this article, we study local Sobolev-Poincaré imbedding domains. The main result reads as below. \begin{enumerate} \item for , a bounded uniform domain is also a…