Submitted Paper

Inserted: 18 jun 2025
Last Updated: 18 jun 2025

Year: 2025

Abstract:

This paper deals with singulardegenerate 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 $2<n<4$.

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