id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-43	Fereidooni, Amin; Moameni, Abbas; Grewal, Anant	Existence of solutions to steady Navier-Stokes equations via a minimax approach	2023	11	.pdf	application/pdf	4536	243	78	= ∆v −∇pv ∀x ∈ Ω, in a weak sense; then there exists ū ∈ K such that Λū+ f(x) Since v is the unique minimizer of I, we can conclude that v̄(x) = v(x); therefore, there exits v ∈ K such that equation (3.2) is satisfied for a fixed u ∈ K. Step 5: Note that the existence of v ∈ K (as proved above) satisfies condition (i) of Theorem 1.1; therefore, a solution of the Navier-Stokes equations exist in the set K; i.e., there exists ū ∈ K that satisfies the following equations: Λū+ f(x)	cache/ejde-43.pdf	txt/ejde-43.txt