id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-66	Asso, Oumarou; Cuesta, Mabel; Doumate, Jonas Tele; Leadi, Liamidi	Principal eigenvalues for the fractional p-Laplacian with unbounded sign-changing weights	2023	29	.pdf	application/pdf	11989	612	83	Published June 19, 2023. 1 2 O. ASSO, M. CUESTA, J. T. DOUMATÈ, L. LEADI EJDE-2023/38 In this article, we study the conditions under which the principal eigenvalues of the following homogeneous Dirichlet problem exist (−∆p) su+ V |u|p−2u = λm(x)|u|p−2u in Ω, u = 0 in RN \ Ω, (1.1) where Ω is a bounded regular domain of RN , V and m are indefinite sign-changing functions and satisfying the following conditions: (C1) V , m ∈ Lr(Ω) with r ∈ (1, +∞) ∩ (Nsp , +∞), (C2) m+ = max(m, 0) 6≡ 0. Let us consider the homogeneous problem (−∆p) su+ V ′|u|p−2u = 0 in Ω, u = 0 in RN \ Ω, (3.4) where V ′ satisfies condition (C1).	cache/ejde-66.pdf	txt/ejde-66.txt