id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-665	Baig, Ayesha; Li , Zhouxin	Existence of positive solutions for systems of quasilinear Schrodinger equations	2025	21	.pdf	application/pdf	8006	408	84	(1.8) where the functions W,V : RN → R are Hölder continuous satisfying W (x), V (x) ≥ α > 0 in RN and the condition: (5) There exists an open and bounded set Λ ⊂ RN , with x0 ∈ Λ and ρ > 0, such that W (x), V (x) ≥ ρ, for all x ∈ ∂Λ and W (x0), V (x0) < Within this class of potentials, V satisfies (A1), (A2) and (A4) there exists a domain Λ ⊂ RN where ∇V (x) ̸= 0 for all x ∈ ∂Λ. Given that V falls into either Class 1 or Class 2 and taking into account certain conditions met by the nonlinearity, the author demonstrated the existence of a positive solution for ε > 0 sufficiently small. Alves	cache/ejde-665.pdf	txt/ejde-665.txt