id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-100	Gharehgazlouei, Fariba; Graef, John R.; Heidarkhani, Shapour; Kong, Lingju	Existence and multiplicity of solutions to a fractional p-Laplacian elliptic Dirichlet problem	2023	15	.pdf	application/pdf	5751	285	77	Introduction In this article, we examine the nonlinear elliptic equation involving the fractional p-Laplacian and depending on a real parameter λ > 0, (−∆)spu = λf(x, u) + h(u), in Ω, u = 0, on RN\Ω, (1.1) where sp < N , Ω is a bounded open subset of RN with a Lipschitz boundary, the fractional p-Laplacian operator (−∆)sp is defined by (−∆)spu(x) = 2 lim ε↘0 ∫ RN\Bε(x) Here, |Ω| is the Lebesgue measure of Ω, ωN denotes the volume of the N -dimensional unit ball, and W̃ s,p(RN ) is the space of all u ∈ Xp s (Ω) such that ũ ∈W s,p(RN ), where ũ is the extension by zero of u. Remark 2.2.	cache/ejde-100.pdf	txt/ejde-100.txt