Nonexistence Results for a Singular Quasilinear Anisotropic Equation
Abstract
We establish the nonexistence of positive stable solutions u ∈ W loc 1 , p ( R N ) to the singular quasilinear anisotropic equation Δ B H u = u − q in R N , where q > 0 , in low dimensions. Under similar assumptions, we further prove that, for the pure Finsler p -Laplacian, there exist no solutions that are stable outside a compact set. The proofs rely on several integral estimates and asymptotic analysis of the solutions.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Functional Equations Stability Results
Publication details
- Journal / source
- Asymptotic Analysis
- Publisher
- SAGE Publications
- Volume
- 149
- Issue
- 3
- Pages
- 1182–1198
- Publication date
- 8 January 2026
- Language
- EN