A continuous model of transportation in the Heisenberg group
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866915580229976064 |
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| author | Circelli, Michele Clop, Albert |
| author_facet | Circelli, Michele Clop, Albert |
| contents | We present a minimization problem with a horizontal divergence-type constraint in the Heisenberg group. Our study explores its dual formulation and examines its relationship with the congested optimal transport problem, for $1 < p < +\infty$, as well as the Monge-Kantorovich problem, in the limite case $p=1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09380 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A continuous model of transportation in the Heisenberg group Circelli, Michele Clop, Albert Analysis of PDEs Optimization and Control We present a minimization problem with a horizontal divergence-type constraint in the Heisenberg group. Our study explores its dual formulation and examines its relationship with the congested optimal transport problem, for $1 < p < +\infty$, as well as the Monge-Kantorovich problem, in the limite case $p=1$. |
| title | A continuous model of transportation in the Heisenberg group |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2406.09380 |