id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-304	Lin, Xiaolu; Zheng, Shenzhou	Multiplicity and asymptotic behavior of solutions to fractional (p,q)-Kirchhoff type problems with critical Sobolev-Hardy exponent	2021	20	.pdf	application/pdf	9198	513	82	〈I ′(un)− I ′(u), un − u〉 = m(‖un‖)〈un, un − u〉s,p −m(‖un‖)〈u, un − u 〉 s,p + ( 〈un, un − u〉s,q − 〈u, un − u〉s,q ) + ∫ Ω ( |un|p ∗ s(α)−2un − |u|p ∗ s(α)−2u )( un − u ) |x|α dx + λ ∫ Ω f(x) ( |un|r−2un − |u|r−2u )( un − u ) |x|c dx. (3.15) (3.21) Let us now put (3.18), (3.19) and (3.21) into (3.15), which yields the inequality o(1) ≥ m(‖un‖) ( 〈un, un − u〉s,p − 〈u, un − u〉s,p ) +m(‖un‖)〈u, un − u〉s,p −m(‖un‖)〈u, un − u〉s,p. (3.22)	cache/ejde-304.pdf	txt/ejde-304.txt