id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-524	Wei, Yuanhong; Tian, Jian	Asymptotically linear and superlinear elliptic equations with gradient terms	2020	14	.pdf	application/pdf	5343	324	82	Introduction This article concerns the existence of solutions for nonlinear elliptic equations with a gradient term, −∆u = f(x, u,∇u) in Ω, u = 0 on ∂Ω, (1.1) where Ω ⊂ Rn, n ≥ 1, is bounded, smooth and open with the boundary ∂Ω, f : The existence of solution was established while f satisfies the classical condition by Ambrosetti-Rabinowitz [2]: (AR) there exist ν > 2 and t0 > 0 such that 0 < νF (x, s, ξ) ≤ sf(x, s, ξ), x ∈ Ω, t ≥ t0, ξ ∈ Rn, where F (x, s, ξ) = ∫	cache/ejde-524.pdf	txt/ejde-524.txt