id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-217	Ozturk, Eylem; Rossi, Julio D.	Limit for the p-laplacian equation with dynamical boundary conditions	2021	13	.pdf	application/pdf	5037	276	78	∀w ∈ K. When the convex functional Ψ : H → (−∞,+∞] is proper, lower-semicontinuous, and such that min Ψ = 0, it is well known (see [8]) that the abstract Cauchy problem ut + ∂Ψ(u) 3 f, a.e. t ∈ (0, T ), u(0) = u0, has a unique solution for any f ∈ L1(0, T ;H) and u0 ∈ D(∂Ψ). Hence, ∫ ∂Ω B(up)(t)− ∫ ∂Ω B(u0) = ∫ t 0 ∫ ∂Ω ∂B(up) ∂t ≤ ∫ t 0 ∫ ∂Ω fβ(up), here B satisfies B′(s) = β(s).	cache/ejde-217.pdf	txt/ejde-217.txt