Symmetry and monotonicity results for solutions of vectorial p-stokes systems López Soriano, Rafael p-Stokes system p-Laplacian system Comparison principle Moving plane method In this paper we shall study qualitative properties of a p-Stokes type system, namely -Delta pu = - div(|Du|p-2Du) = f (x, u) in omega, where Delta p is the p-Laplacian vectorial operator. More precisely, under suitable assumptions on the domain omega and the function f, it is deduced that system solutions are symmetric and monotone. Our main results are derived from a vectorial version of the weak and strong comparison principles, which enable to proceed with the moving-planes technique for systems. As far as we know, these are the first qualitative kind results involving vectorial operators. 2023-03-28T12:39:20Z 2023-03-28T12:39:20Z 2021-12-20 journal article Published version: López-Soriano, R., Montoro, L., & Sciunzi, B. (2023). Symmetry and monotonicity results for solutions of vectorial 𝑝-Stokes systems. Transactions of the American Mathematical Society. [https://doi.org/10.1090/tran/8867] https://hdl.handle.net/10481/80910 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional American Mathematical Society