id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-176	Ortegon Gallego, Francisco; Ouyahya, Hakima; Rhoudaf, Mohamed	Existence of a solution and its numerical approximation for a strongly nonlinear coupled system in anisotropic Orlicz-Sobolev spaces	2022	32	.pdf	application/pdf	11920	633	77	It consists of two coupled nonlinear elliptic equations governing the temperature, u, and the electric potential, ϕ, inside a semiconductor device, namely, −A(u) = ρ(u)|∇ϕ|2 in Ω div(ρ(u)∇ϕ) = 0 in Ω, ϕ = ϕ0 on ∂Ω, u = 0 on ∂Ω, (1.1) where Ω ⊂ Rd (the thermistor geometry) is a bounded domain, d ≥ 2 is an integer, and the operator A, given by A(u) , d, the function ai(x, s, ζ) : Ω×R×R 7→ R is a Carathéodory function, that is, measurable with respect to x in Ω for all (s, ζ) ∈ R2, and continuous with respect to (s, ζ) for	cache/ejde-176.pdf	txt/ejde-176.txt