id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-649	Caqui, Eduardo H.; Lima, Sandra M. de S.; Pereira, Fábio R.	Multiplicity results for critical fractional Ambrosetti-Prodi type system with nonlinearities interacting with the spectrum	2025	29	.pdf	application/pdf	12401	612	85	− U∥2Y − (α+ β) ∫ Ω F (Un − U) dx+ ∫ Ω (∇F (U + UT ), UT )R2 dx + ∫ Ω (∇F (Un + UT ), UT )R2 dx+ o(1). Also (w, z) = ( (λ1,s − c)t+ br det(λ1,sI −A) ϕ1,s, bt+ (λ1,s − a)r det(λ1,sI −A) ϕ1,s ) is the unique solution of the system (− −→ ∆)sU = AU + Tϕ1,s in Ω, U = 0 in RN \ Ω. Consequently, if uT = (λ1,s − c)t+ br det(λ1,sI −A) ϕ1,s + u0, vT = bt+ (λ1,s − a)r det(λ1,sI −A) ϕ1,s + v0, then UT = (uT , vT ) is a solution of the system (− −→ ∆)sU = AU + Tϕ1,s + F1 in Ω, U = 0 in RN \ Ω. Clearly if uT and vT are negative in Ω, we deduce also that UT is a solution of (1.2).	cache/ejde-649.pdf	txt/ejde-649.txt