Liouville-type results for some quasilinear anisotropic elliptic equations

We prove some Liouville-type theorems for stable solutions (and solutions stable outside a compact set) of quasilinear anisotropic elliptic equations. Our results cover the particular case of the pure Finsler p-Laplacian.

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Bibliographic Details
Published in:Nonlinear analysis 2024-01, Vol.238, p.113402, Article 113402
Main Authors: Farina, Alberto, Sciunzi, Berardino, Vuono, Domenico
Format: Article
Language:English
Subjects:
Analysis of PDEs
Anisotropic elliptic equations
Critical exponents
Mathematics
Stability
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Description
Summary:We prove some Liouville-type theorems for stable solutions (and solutions stable outside a compact set) of quasilinear anisotropic elliptic equations. Our results cover the particular case of the pure Finsler p-Laplacian.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2023.113402