Comparison results for solutions to the Dirichlet problems for a class of nonlinear, anisotropic parabolic equations are established. These results are obtained through a semi-discretization method in time after providing estimates for solutions to anisotropic elliptic problems with zero-order terms.
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Angela Alberico, Giuseppina di Blasio, Filomena Feo, Comparison results for nonlinear anisotropic parabolic problems. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 28 (2017), no. 2, pp. 305–322DOI 10.4171/RLM/764