On the classification of extremals of Caffarelli-Kohn-Nirenberg inequalities
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909346825240576 |
|---|---|
| author | Ciraolo, Giulio Polvara, Camilla Chiara |
| author_facet | Ciraolo, Giulio Polvara, Camilla Chiara |
| contents | 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 $\mathbb{R}^d$, with $d\geq 2$. We classify positive solutions without assuming that the solution has finite energy and when the intrinsic dimension $n \in (\frac{3}{2},5]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09478 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the classification of extremals of Caffarelli-Kohn-Nirenberg inequalities Ciraolo, Giulio Polvara, Camilla Chiara Analysis of PDEs 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 $\mathbb{R}^d$, with $d\geq 2$. We classify positive solutions without assuming that the solution has finite energy and when the intrinsic dimension $n \in (\frac{3}{2},5]$. |
| title | On the classification of extremals of Caffarelli-Kohn-Nirenberg inequalities |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.09478 |