This paper deals with singular/degenerate semilinear critical equations which arise as the Euler-Lagrange equation of Caffarelli-Kohn-Nirenberg inequalities in Rd[jls-end-space/], with d≥2[jls-end-space/]. We prove several rigidity results for positive solutions, in particular we classify solutions with possibly infinite energy when the intrinsic dimension n satisfies 2<4[jls-end-space/].
Rigidity of solutions to singular/degenerate semilinear critical equations
Catino, Giovanni;Monticelli, Dario D.;Roncoroni, Alberto
2026-01-01
Abstract
This paper deals with singular/degenerate semilinear critical equations which arise as the Euler-Lagrange equation of Caffarelli-Kohn-Nirenberg inequalities in Rd[jls-end-space/], with d≥2[jls-end-space/]. We prove several rigidity results for positive solutions, in particular we classify solutions with possibly infinite energy when the intrinsic dimension n satisfies 2<4[jls-end-space/].File in questo prodotto:
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