Viscosity Solutions in Martinet Spaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918309106024448 |
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| author | Bieske, Thomas Bowen, Frederic |
| author_facet | Bieske, Thomas Bowen, Frederic |
| contents | In this paper, we establish the properties of viscosity solutions in Martinet spaces, which lack both the algebraic group law of Carnot groups and the triangular vector fields of Grushin-type spaces. We then prove the uniqueness of viscosity solutions to strictly monotone elliptic PDEs and to the infinite Laplace equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19864 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Viscosity Solutions in Martinet Spaces Bieske, Thomas Bowen, Frederic Analysis of PDEs Differential Geometry Metric Geometry 53C17, 35D40, 35H20 In this paper, we establish the properties of viscosity solutions in Martinet spaces, which lack both the algebraic group law of Carnot groups and the triangular vector fields of Grushin-type spaces. We then prove the uniqueness of viscosity solutions to strictly monotone elliptic PDEs and to the infinite Laplace equation. |
| title | Viscosity Solutions in Martinet Spaces |
| topic | Analysis of PDEs Differential Geometry Metric Geometry 53C17, 35D40, 35H20 |
| url | https://arxiv.org/abs/2601.19864 |