id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-34	Tong, Zhi-Juan; Chen, Jianqing; Wang, Zhi-Qiang	Non-radial normalized solutions for a nonlinear Schrodinger equation	2023	14	.pdf	application/pdf	5794	376	83	Choose nm →∞, as m→∞ such that ∣∣bm − ∫ TRm |unm |2dx ∣∣ ≤ 1 m , ∣∣∣bm+1 − ∫ TRm+1 |unm |2dx ∣∣∣ ≤ 1 m . − C0 rn = (‖vn‖22 2b ∫ RN ∣∣√b∇vn ‖ vn‖2 ∣∣2 − ‖vn‖p2 pbp/2 ∫ RN ∣∣√bvn ‖vn‖ 2 ∣∣pdx) + (‖ωn‖22 2b ∫ RN ∣∣√b∇ωn ‖ωn‖2 ∣∣2 − ‖ωn‖p2 pbp/2 ∫ RN ∣∣√bωn ‖ωn‖ 2 ∣∣pdx)− C0 rn ≥ ‖vn‖ 2 2 b S(Rn, b) + (‖vn‖22 pb − ‖vn‖ p 2 pbp/2 )∫ RN ∣∣√bvn ‖vn‖2 ∣∣pdx+ ‖ωn‖22 b S(Rn, b)− C0 rn .	cache/ejde-34.pdf	txt/ejde-34.txt