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 / Ciraolo, G.; Polvara, C. C.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 64:8(2025). [10.1007/s00526-025-03128-w]
On the classification of extremals of Caffarelli-Kohn-Nirenberg inequalities
Ciraolo G.
;Polvara C. C.
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].File allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
