id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-110	Afrouzi, Ghasem A.; Chung, Nguyen Thanh; Naghizadeh, Zohreh	Multiple solutions for p(x)-Kirchhoff type problems with Robin boundary conditions	2022	16	.pdf	application/pdf	6770	363	82	Hence, F (x, τt) ≥ τµF (x, t), ∀x ∈ Ω, t ∈ R, τ ≥ 1. (2.3) Let ϕ ∈ C∞0 (Ω) and ϕ 6≡ 0 such that ∫ Ω F (x, ϕ) dx > 0, by (A1) we have Jλ(τϕ) Introduction In this article, we study the existence of weak solutions for p(x)-Kirchhoff type problems with Robin boundary conditions −M (∫ Ω 1 p(x) |∇u|p(x) dx+ ∫ ∂Ω β(x) p(x) |u|p(x) dσx ) div ( |∇u|p(x)−2∇u ) = f(x, u) + λg(x), x ∈ Ω, |∇u|p(x)−2 ∂u ∂ν + β(x)|u|p(x)−2u = 0, x ∈ ∂Ω, (1.1) where Ω is a bounded domain in RN with smooth boundary ∂Ω, ∂u ∂ν is the outer normal derivative, dσx is the measure on the boundary ∂Ω, β ∈ L∞(∂Ω), β− := infx∈∂Ω β(x) > 0, p ∈ C+(Ω), 1 < p− := infx∈Ω p(x) ≤ p+ := maxx∈Ω p(x) <	cache/ejde-110.pdf	txt/ejde-110.txt