id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-411	dos Santos, Gelson C. G.; Figueiredo, Giovany M.; Tavares,  Leandro S.	Sub-super solution method for nonlocal systems involving the p(x)-Laplacian operator	2020	19	.pdf	application/pdf	8639	483	84	Using Hölder’s inequality we have∣∣ ∫ Ω 〈 |∇uin|pi(x)−2∇uin − |∇u|pi(x)−2∇ui,∇(uin − u) 〉∣∣ ≤ |uin Since λn → λ and Hi(T1z 1 n, T2z 2 n)→ Hi(T1z 1, T2z 2) in Lp ′ i(x)(Ω) for i = 1, 2 we have∣∣ ∫ Ω 〈 |∇uin|pi(x)−2∇uin − |∇u|pi(x)−2∇ui,∇(uin − u) 〉∣∣→ 0.	cache/ejde-411.pdf	txt/ejde-411.txt