id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-208	Chen, Yutong; Su, Jiabao; Sun, Mingzheng; Tian, Rushun	An elliptic equation involving the square root of the Laplacian without asymptotic limits	2021	20	.pdf	application/pdf	8548	572	83	− ( ‖z‖2 − µm ∫ Ω |z(x, 0)|2dx ) − (∫ {|v(x,0)|<M} + ∫ {|v(x,0)|>M} ) f̃(x, v(x, 0))ṽ(x, 0)dx > ( ‖w‖2 − µm ∫ Ω |w(x, 0)|2dx ) − ( ‖z‖2 − µm ∫ Ω |z(x, 0)|2dx ) − ∫ Ω (µm+1 − µm − ε)|w(x, 0)|2dx− C‖ṽ‖ > ( µm µm−1 − 1 ) ‖z‖2 + ε µm+1 ‖w‖2 − C‖ṽ‖. (4.36) By (4.32) and (4.36), we obtain o(‖vn‖) = 〈J ′(vn), ṽn〉 > ( µm µm−1 − 1 ) 0)|2dx ] − (∫ {|v(x,0)|<M} + ∫ {|v(x,0)|>M} ) f̃(x, v(x, 0))ṽ(x, 0)dx > ( 1− µm+1 µm+2 ) ‖w‖2 − [ ‖z‖2 − µm+1 ∫ Ω |z(x, 0)|2dx ] − ∫ Ω (µm+1 − µm − ε)|z(x, 0)|2dx− C‖ṽ‖ > ( 1− µm+1 µm+2 ) ‖w‖2 + ε µm ‖z‖2 − C‖ṽ‖. (4.18)	cache/ejde-208.pdf	txt/ejde-208.txt