关于Brezis，Van Schaftingen和Yung的Sobolev范数公式的一些注记
Some remarks on a formula for Sobolev norms due to Brezis, Van Schaftingen and Yung
摘要：
本文对H. Brezis，J. Van Schaftingen和Po-Lam Yung关于当强$L^q$被弱$L^q$代替时，在$s = 1$上计算的Gagliardo半范数$|u|_{W^{s,q}}$.特别是，我们解决一般域和非光滑函数的推广他们的结果。
英文摘要：
We provide answers to some questions raised in a recent work by H. Brezis, J. Van Schaftingen and Po-Lam Yung concerning the Gagliardo semi-norm $|u|_{W^{s,q}}$ computed at $s = 1$, when the strong $L^q$ is replaced by weak $L^q$. In particular, we address generalization of their results for a general domain and non-smooth functions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
