id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-216	Maia, Liliane de A.; Oliveira Junior, Jose Carlos; Ruviaro, Ricardo	Generalized quasilinear equations with critical growth and nonlinear boundary conditions	2022	18	.pdf	application/pdf	7153	359	81	We study the quasilinear problem − div(h2(u)∇u) + h(u)h′(u)|∇u|2 + u = −λ|u|q−2u+ |u|2·2 ∗−2u in Ω, ∂u ∂η = µg(x, u) on ∂Ω, where Ω ⊂ R3 is a bounded domain with regular boundary ∂Ω, λ, µ > 0, 1 < q < 4, 2 ·2∗ = 12, ∂ ∂η is the outer normal derivative and g has a subcritical growth in the sense of the trace Sobolev embedding. 327 328 L. MAIA, J. C. OLIVEIRA JUNIOR, R. RUVIARO EJDE/SI/01 In this article, we are interested in the quasilinear problem −div(h2(u)∇u) + h(u)h′(u)|∇u|2 + u = −λ|u|q−2u+ |u|2·2 ∗−2u in Ω, ∂u ∂η = µg(x, u) on ∂Ω, (1.3) where Ω ⊂ R3 is a bounded domain with regular boundary ∂Ω, λ, µ > 0, 1 <	cache/ejde-216.pdf	txt/ejde-216.txt