id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-64	Liu, Zhenhai; Papageorgiou, Nikolaos S.	A weighted (p,2)-equation with double resonance	2023	18	.pdf	application/pdf	7657	422	81	The reaction (right-hand side) of (1.1), is a Carathéodory function f(z, x) (that is, for all x ∈ R, z → f(z, x) is measurable and for a.a.z ∈ Ω, x → f(z, x) is continuous) which exhibits (p − 1) sublinear growth as x → ±∞ and resonance can occur with respect to the principal eigenvalue of (−∆a1 p ,W 1,p 0 (Ω)) EJDE-2023/30 A WEIGHTED (p, 2)-EQUATION WITH DOUBLE RESONANCE 13 Note that ∇yγ(z, y) = a1(z)|y|p−2[id+ (p− 2) y ⊗ y |y|2 ] + a2(z)id ∀z ∈ Ω, ;∀y ∈ RN ⇒ (∇yγ(z, y)β, β)RN ≥ ĉ|β|2 for all y, β ∈ RN .	cache/ejde-64.pdf	txt/ejde-64.txt