id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-223	Yang, Jiaxuan; Li, Yongqing; Wang, Zhi-Qiang	Radial and non-radial solutions for a nonlinear Schrodinger equation with a constraint	2021	13	.pdf	application/pdf	5165	367	85	Then c(εn) = inf ‖u‖2=1 (1 2 ∫ RN |∇u|2dx− 1 p ∫ RN Q(εnx)|u|pdx ) ≤ 1 2 ∫ RN |∇vn|2dx− 1 p ∫ RN Q(εnx)|vn|pdx = 1 2 ∫ RN |∇vn|2dx− 1 p qM ∫ RN |vn|pdx+ 1 p ∫ RN (qM −Q(εnx))|vn|pdx 230 J. YANG, Y. LI, Z.-Q. WANG EJDE/SI/01 = cqM + 1 p ∫ RN (qM −Q(εnx))|vn|pdx. lim sup ε→0 c(ε, k) ≤ c k 2−p 2 qM (4.4) where as in (1.5), c k 2−p 2 qM = inf u∈H1,‖u‖2=1 (1 2 ∫ R2 |∇u|2dx− k 2−p 2 qM p ∫ R2 |u|pdx ) .	cache/ejde-223.pdf	txt/ejde-223.txt