Existence of Solutions for Unilateral Problems in L 1 Involving Lower Order Terms in Divergence form in Orlicz Spaces

Abstract

Abstract. This article is concerned with the existence result of the unilateral problem associated to the equations of the typewhere A is a Leray-Lions operator having a growth not necessarily of polynomial type and φ ∈ C 0 (R, R N ).

Rothe time-discretization method for a nonlinear parabolic problem in Orlicz-Sobolev spaces

“…Nonlinear and abstract parabolic problems have been studied by Kaũr et al, using similar technique to that of Rothe's method. For the more complete references we refer the reader to [2,8,9,[16][17][18]20] and [32].…”

“…Let (u n ) 0≤n≤N, N ∈ ℕ be an entropy solution of the approximate problem(2), then for all k > 0, n = 1...N and h > 0, we have…”