id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-480	Nguyen, Tu	Lower bounds at infinity for solutions to second order elliptic equations	2023	11	.pdf	application/pdf	3425	205	85	They proved that if u satisfies (1.1) then there exists C > 0 such that∫ B(x,1) u2 ≥ exp(−C|x|4/3 log |x|) ∀|x| ≥ 10. Then there exists C2 > 0 such that if |x| = R ≥ 10, then∫ B(x,τR) u2 ≥ e−C2R α (3.4) and ∫ B(x,1) u2 ≥ e−C2R α logR. (3.5) Proof.	cache/ejde-480.pdf	txt/ejde-480.txt