id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-87	Zhang, Bo; Liu, Xiangqing	Localized nodal solutions for semiclassical quasilinear Choquard equations with subcritical growth	2022	29	.pdf	application/pdf	10373	622	90	2−p 2 ≤ c (∫ RN (|∇uk|p−2∇uk − |∇ul|p−2∇ul,∇uk −∇ul) dx )p/2 → 0, as k, l→∞, ∫ RN E(εx)|uk − ul|p dx ≤ c (∫ RN (|uk|p−2uk − |ul|p−2ul)(uk − ul) dx )p/2 × (∫ RN (|uk|p + |ul|p) dx ) 2−p 2 ≤ c (∫ RN (|uk|p−2uk − |ul|p−2ul)(uk − ul) dx )p/2 → 0, as k, l→∞ and ∫ RN exp{(m− p) dist(εx,M)}|(uk − ul)|m dx ≤ c (∫ RN (kε(x, uk)− kε(x, ul))(uk − ul) dx )m/2 × (∫ RN εm−p exp{(m− p) dist(εx,M)}(|uk|m + |ul|m) dx ) 2−m 2 ≤ c ( ∫ RN (kε(x, uk)− kε(x, ul))(uk − ul) dx )m/2 → 0, as k, l→∞. So {un} is a Cauchy sequence in Xε. � 10 B. ZHANG, X. LIU EJDE-2022/11 3.	cache/ejde-87.pdf	txt/ejde-87.txt