id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-306	Ali, Mageed; Iaia, Joseph	Infinitely many solutions for a singular semilinear problem on exterior domains	2021	17	.pdf	application/pdf	7500	460	92	Next integrating (2.15) on (t, R2−N ) and dividing by (R2−N − t) (2.27) Integrating on (t, R2−N ) and using (2.3), (2.4) we obtain |Va(t)| = ∣∣ ∫ R2−N t V ′a(s) ds ∣∣ ≤ ∫ R2−N t |V ′a(s)| ds ≤ ∫ R2−N t (aRN−1 N − 2 + √ 2F0h(R2−N ) ) ds = (R2−N − t) (aRN−1 N − 2 + √ 2F0h(R2−N ) ) ≤ aR N − 2 +R2−N √ 2F0h(R2−N ).	cache/ejde-306.pdf	txt/ejde-306.txt