id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-683	Sousa, Jose Vanterler da C.; Pigossi, Mariane; Nyamoradi, Nemat	Existence and multiplicity of solutions for fractional differential equations with p-Laplacian at resonance	2024	17	.pdf	application/pdf	7525	524	83	4 J. V. D. C. SOUSA, M. PIGOSSI, N. NYAMORADI EJDE-2024/34 For the first eigenfunctions φ1(a) > 0, if we let V = span{φ1(a)}, then V ⊥ = { ξ ∈ Hα,β,ψp : ∫ T 0 (φ(a))p−1ξdx = 0 } . such that∫ T 0 (∣∣∣HDα,β,ψ 0+ ξ(x) ∣∣∣p − a(x)|ξ|p ) dx ⩾ λ(a) ∫ T 0 |ξ|pdx (1.10) for any ξ ∈ V ⊥. Similarly, we can define λ1(b), φ1(b) and λ(b).	cache/ejde-683.pdf	txt/ejde-683.txt