id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-580	Avila, Jake; Cabarrubias, Bituin	Periodic unfolding method for domains with very small inclusions	2023	37	.pdf	application/pdf	15806	853	82	| uδ,ε1 ∈ V δ,εp , uδ,ε2 ∈W 1,p(Ωδ,ε2 ) } , (3.4) equipped with the norm, ‖uδ,ε‖p Hδ,εγ,p = ‖∇uδ,ε1 ‖ p Lp(Ωδ,ε1 ) + ‖∇uδ,ε2 ‖ p Lp(Ωδ,ε2 ) + εγ‖uδ,ε1 − u δ,ε 2 ‖ p Lp(Γδ,ε) . Then there exists a subsequence (still denoted by ε), u1 ∈ H1 0 (Ω) and û1 ∈ L2(Ω;H1 per(Y1)) such that T ε1 (uε1)→ u1 strongly in L2(Ω;H1(Y1)), (2.2) T ε1 (∇uε1) ⇀ ∇u1 +∇yû1 weakly in L2(Ω× Y1), (2.3) with MΓ(û1) = 0 for almost every x	cache/ejde-580.pdf	txt/ejde-580.txt