In this paper we shall study qualitative properties of a p-Stokes type system, namely −Δpu = − div(|Du|p−2Du) = f(x, u) in Ω, where Δp is the p-Laplacian vectorial operator. More precisely, under suitable assumptions on the domain Ω 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.
SYMMETRY AND MONOTONICITY RESULTS FOR SOLUTIONS OF VECTORIAL p-STOKES SYSTEMS
Montoro L.;Sciunzi B.
2023-01-01
Abstract
In this paper we shall study qualitative properties of a p-Stokes type system, namely −Δpu = − div(|Du|p−2Du) = f(x, u) in Ω, where Δp is the p-Laplacian vectorial operator. More precisely, under suitable assumptions on the domain Ω 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.File in questo prodotto:
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