id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-1857	Boussetouan, Imane; Amrouche, Cherif	Existence and regularity of solutions for elliptic systems with mixed boundary conditions	2025	26	.pdf	application/pdf	13892	724	83	(iii) Furthermore, if Ω is of class C 2,1, f ∈ Lp(Ω), a× n ∈ W2−1/p,p(ΓN ), g ∈W 1−1/p,p(ΓN ), b ∈W 2−1/p,p(ΓD), and h× n ∈ W1−1/p,p(ΓD), then u belongs to W2,p(Ω) and ∥u∥W2,p(Ω) ≤ C ( ∥f∥Lp(Ω) + ∥g∥W 1−1/p,p(ΓN ) + ∥h× n∥W1−1/p,p(ΓD) + ∥a× n∥W2−1/p,p(ΓN ) + ∥b∥W 2−1/p,p(ΓD) ) . Furthermore, if Ω is of class C 2,1, f ∈ Lp(Ω), g ∈ W 1−1/p,p(ΓN ), and h ∈ W1−1/p,p(ΓD) with F = 0, then u belongs to W2,p(Ω) and ∥u∥W2,p(Ω) ≤ C ( ∥f∥Lp(Ω) + ∥g∥W 1−1/p,p(ΓN ) + ∥h∥W1−1/p,p(ΓD) ) .	cache/ejde-1857.pdf	txt/ejde-1857.txt