Asymptotic behaviour of some anisotropic problems

Article type: Research Article

Authors: Chipot, Michel^{a; b; *}

Affiliations: [a] Institute of Mathematics, University of Zürich, Winterthurerstr. 190, CH-8057 Zürich, Switzerland | [b] FernUni Schweiz, Schinerstrasse 18, CH-3900 Brig-Glis, Switzerland

Correspondence: [*] Corresponding author. E-mail: m.m.chipot@math.uzh.ch.

Abstract: The goal of this paper is to explore the asymptotic behaviour of anisotropic problems governed by operators of the pseudo p-Laplacian type when the size of the domain goes to infinity in different directions.

Keywords: Anisotropic operators, nonlinear elliptic operators, pseudo p-Laplacian, asymptotic behaviour, cylinder like domains

DOI: 10.3233/ASY-241906

Journal: Asymptotic Analysis, vol. 139, no. 3-4, pp. 217-243, 2024