Comparison results for nonlinear anisotropic parabolic problems

  • Angela Alberico

    Consiglio Nazionale delle Ricerche, Napoli, Italy
  • Giuseppina di Blasio

    Università degli Studi della Campania “Luigi Vanvitelli”, Caserta, Italy
  • Filomena Feo

    Università degli Studi di Napoli ‚Parthenope', Italy

Abstract

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.

Cite this article

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. 305–322

DOI 10.4171/RLM/764