A Liouville-type property for degenerate-elliptic equations modeled on Hörmander vector fields
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917980906979328 |
|---|---|
| author | Biagi, Stefano Monticelli, Dario Daniele Punzo, Fabio |
| author_facet | Biagi, Stefano Monticelli, Dario Daniele Punzo, Fabio |
| contents | We obtain Liouville type theorems for degenerate elliptic equation with a drift term and a potential. The diffusion is driven by Hörmander operators. We show that the conditions imposed on the coefficients of the operator are optimal. Indeed, when they fail we prove that infinitely many bounded solutions exist. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06068 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Liouville-type property for degenerate-elliptic equations modeled on Hörmander vector fields Biagi, Stefano Monticelli, Dario Daniele Punzo, Fabio Analysis of PDEs We obtain Liouville type theorems for degenerate elliptic equation with a drift term and a potential. The diffusion is driven by Hörmander operators. We show that the conditions imposed on the coefficients of the operator are optimal. Indeed, when they fail we prove that infinitely many bounded solutions exist. |
| title | A Liouville-type property for degenerate-elliptic equations modeled on Hörmander vector fields |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2504.06068 |