Rigidity of solutions to singular/degenerate semilinear critical equations
Abstract
This paper deals with singular/degenerate semilinear critical equations which arise as the Euler-Lagrange equation of Caffarelli-Kohn-Nirenberg inequalities in $\mathbb{R}^d$, with $d\geq 2$. We prove several rigidity results for positive solutions, in particular we classify solutions with possibily infinite energy when the intrinsic dimension $n$ satisfies $2
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Nonlinear Differential Equations Analysis
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Journal of Functional Analysis
- Volume
- 291
- Issue
- 5
- Pages
- 111538–111538
- Publication date
- 5 May 2026
- Language
- EN