id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-219	Onete, Florin I.; Papageorgiou, Nikolaos S.; Radulescu, Vicentiu D.	Twin positive solutions for resonant singular (p,q)-equations	2021	14	.pdf	application/pdf	5843	345	80	(4.32) Now we return to (4.19), choose h = un − u ∈ W 1,p 0 (Ω), pass to the limit as n→∞ and use (4.32). So, if in (4.23) we choose h = yn − y ∈ W 1,p 0 (Ω), pass to the limit as n → ∞ and use (4.22), (4.21), (4.24), then we obtain lim n→∞ 〈Ap(yn), yn − y〉 = 0, ⇒ yn → y in W 1,p 0 (Ω), hence ‖y‖ = 1, y ≥ 0 (see Proposition 2.1).	cache/ejde-219.pdf	txt/ejde-219.txt