We consider a family of critical elliptic equations which arise as the Euler-Lagrange equation of Caffarelli-Kohn-Nirenberg inequalities, possibly in convex cones in Rd, with d≥2. We classify positive solutions without assuming that the solution has finite energy and when the intrinsic dimension n∈(52,5].
On the classification of extremals of Caffarelli-Kohn-Nirenberg inequalities / G. Ciraolo, C.C. Polvara. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 1432-0835. - 64:8(2025 Nov), pp. 246.1-246.27. [10.1007/s00526-025-03128-w]
On the classification of extremals of Caffarelli-Kohn-Nirenberg inequalities
G. Ciraolo
Primo
;C.C. PolvaraUltimo
2025
Abstract
We consider a family of critical elliptic equations which arise as the Euler-Lagrange equation of Caffarelli-Kohn-Nirenberg inequalities, possibly in convex cones in Rd, with d≥2. We classify positive solutions without assuming that the solution has finite energy and when the intrinsic dimension n∈(52,5].
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