id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-1230	Anello, Giovanni	Nonlocal critical Kirchhoff problems in high dimension	2025	8	.pdf	application/pdf	3309	143	80	Now, consider the number λ∗ defined by λ∗ = a 2∥u0∥2 + b 4∥u0∥4 − 1 2∗ ∥u0∥2 ∗ 2∗ − inft∈[0,l0] ( a 2 t 2 + b 4 t 4 − 1 2∗S − 2∗ 2 N t2 ∗) ∥u0∥2 ∗ 2∗ − inft∈[0,l0] ( a 2 t 2 + b 4 t 4 − 1 2∗S − 2∗ 2 N t2 ∗) J(u0)− sup∥u∥≤l0 J(u)	cache/ejde-1230.pdf	txt/ejde-1230.txt