id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-102	Zhou, Jundong	k-Hessian curvature type equations in space forms	2022	14	.pdf	application/pdf	4954	327	84	(3.24) Applying (2.8) and (3.9), we obtain F ii∇iih11 = F ii∇11hii − h11F iih2 ii + F iihiih 2 11 −KF ii(h11δ 2 1i − h11δii + hii − hi1δi1) = F ii∇11hii − h11F iih2 ii + f̃h2 11 +Kh11 ∑ i F ii − f̃K. (3.25) Covariantly differentiating (3.11) twice yields F ii∇11hii = Gii∇11ηii ≥ −Gij,rs∇1ηij∇1ηrs+ ∑ i h11idν We prove that a 2(u− a) F iih2 ii + 1 2 (K + βφ′) ∑ i F ii ≥ C2h11.	cache/ejde-102.pdf	txt/ejde-102.txt