Comparison principles for degenerate sub-elliptic equations in non-divergence form
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909323100160000 |
|---|---|
| author | Manfredi, Juan J. Mukherjee, Shirsho |
| author_facet | Manfredi, Juan J. Mukherjee, Shirsho |
| contents | We prove the comparison principle for viscosity sub/super-solutions of degenerate subelliptic equations in non-divergence form that include the sub-elliptic infinity Laplacian and the normalized p-Laplacian. The equations are defined by a collection of vector fields satisfying Hörmander's rank condition and are left invariant with respect to a nilpotent Lie Group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_15144 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Comparison principles for degenerate sub-elliptic equations in non-divergence form Manfredi, Juan J. Mukherjee, Shirsho Analysis of PDEs 35H20, 35J94, 35J92 We prove the comparison principle for viscosity sub/super-solutions of degenerate subelliptic equations in non-divergence form that include the sub-elliptic infinity Laplacian and the normalized p-Laplacian. The equations are defined by a collection of vector fields satisfying Hörmander's rank condition and are left invariant with respect to a nilpotent Lie Group. |
| title | Comparison principles for degenerate sub-elliptic equations in non-divergence form |
| topic | Analysis of PDEs 35H20, 35J94, 35J92 |
| url | https://arxiv.org/abs/2409.15144 |