Symmetrization for Neumann Anisotropic Problems and Related Questions

Abstract

Abstract In this paper we prove some comparison results for Neumann elliptic problems whose model involves the anisotropic Laplacian Δ H u = div (H(Du)H ξ (Du)), where H is a positively homogenous convex function. Finally, we find a Poincaré inequality in the anisotropic setting.