Nrf2-regulated redox signaling in human coronary smooth artery smooth muscle cells under hyperoxia, physiological normoxia and hypoxia
Free Radical Biology and Medicine(2021)
摘要
The purpose of this article is to give a complete study of the weak solutions of the fractional elliptic equation where p≥0, (−Δ)α with α∈(0,1) denotes the fractional Laplacian operator in the principle value sense, B1(eN) is the unit ball centered at eN=(0,⋯,0,1) in RN with N≥2 and δ0 is the Dirac mass concentrated at the origin. We prove that problem (Eq. (0.1)) admits a unique weak solution when p>1+2αN. Moreover, if in addition p≥N+2N−2, the weak solution vanishes as α→1−. We also show that problem (Eq. (0.1)) does not have any weak solution when p∈[0,1+2αN]. These results are very surprising since they are in total contradiction with the classical setting, i.e. for which it has been proved that there are no solutions for p≥N+1N−1.
更多查看译文
关键词
redox signaling,human coronary smooth artery,smooth muscle cells,physiological normoxia
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要