id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-984	Zhang, Tianqing; Guo, Zhenyu	Normalized solutions of fractional Kirchhoff equations: the defocusing case	2025	16	.pdf	application/pdf	8347	452	82	Setting u ∈ Pc,µ, by fractional Gagliardo-Nirenberg inequality and µ < 0 we obtain that a|(−∆)s/2u|22 ≤ δs,p|u|pp ≤ δs,pC(s, p) p| −∆s/2u|pδs,p2 |u|p(1−δs,p) 2 . (3.26) From the definition of Pc,µ, we obtain u ∈ Sc, namely, |u|2 = c. Let N ≥ 2, then Hs r (RN ) is compactly embedding into Lp(RN ) for p ∈ (2, 2∗s).	cache/ejde-984.pdf	txt/ejde-984.txt