Brock, F.Díaz, J. I.Gómez-Castro, D.Mercaldo, A.2023-06-172023-06-172021-030294-144910.1016/j.anihpc.2020.07.005https://hdl.handle.net/20.500.14352/7241In this paper we obtain comparison results for the quasilinear equation −_p,xu−uyy = f with homogeneous Dirichlet boundary conditions by Steiner rearrangement in variable x, thus solving a long open problem. In fact, we study a broader class of anisotropic problems. Our approach is based on a finite-differences discretization in y, and the proof of a comparison principle for the discrete version of the auxiliary problem AU − Uyy ≤ R s0 f, where AU = (n!1/nn s1/n′)p(−Uss)p−1. We show that this operator is T-accretive in L1. We extend our results for −_p,x to general operators of the form −div(a(|∇xu|)∇xu) where a is non-decreasing and behaves like | ・ |p−2 at infinity.engjournal articlehttps://doi.org/10.1016/j.anihpc.2020.07.005open access517.9517.95Steiner symmetrizationAnisotropic quasilinear equationsPartial discretizationT-accretive operatorsEcuaciones diferenciales1202.07 Ecuaciones en Diferencias