id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6102	Almushahhin, Rakan; Ben Ayed, Mohamed	Boundary Blowing Up Solutions for an Elliptic Neumann Problem with Nearly Critical Exponent	2025	31	.pdf	application/pdf	12964	768	87	, n+ 2 } , (See Proposition 1 of [32] and equation (19) by taking Ω = B (0, 1), K = γ̄ and N = 1). , N}, λk = O ( |z′|+ (if n ⩾ 5) ε+ (if n = 4) ε |ln ε| ) D2f1 (bk) ((z ′, 0) , ·) = O ( ε+ |z′|2 ) , k ∈ {1, . . . , N}. (52) Since D2f1 (bk) is assumed to be non-degenerate, the last equation in (52) implies that |z′| ⩽ c ( ε+ |z′|2 ) , and therefore, the system (52) can be rewritten as ρk = O ( ρ2k + |z′|2 + ε |ln ε| ) , k ∈ {1, . . .	cache/ejpam-6102.pdf	txt/ejpam-6102.txt