@article{46c32952e67842698a07cd5777a8ca68,
title = "Fast and slow decay solutions for supercritical fractional elliptic problems in exterior domains",
abstract = "We",
keywords = "Existence, Fractional elliptic problems, Supercritical cases",
author = "Weiwei Ao and Chao Liu and Liping Wang",
note = "Publisher Copyright: {\textcopyright}> 3, s b (0, 1) and p > (N + 2s)/(N - 2s). We prove that this problem has infinitely many solutions with slow decay O(|x|-2s/(p-1)) at infinity. In addition, for each s b (0, 1) there exists Ps > (N + 2s)/(N - 2s), for any (N + 2s)/(N - 2s) < p < Ps, the above problem has a solution with fast decay O(|x|2s-N). This result is the extension of the work by D{\'a}vila, del Pino, Musso and Wei (2008, Calc. Var. Partial Differ. Equ. 32, no. 4, 453-480) to the fractional case. ",
year = "2022",
month = feb,
day = "12",
doi = "10.1017/prm.2020.91",
language = "英语",
volume = "152",
pages = "28--53",
journal = "Proceedings of the Royal Society of Edinburgh Section A: Mathematics",
issn = "0308-2105",
publisher = "Cambridge University Press",
number = "1",
}