Planar closed curves with prescribed curvature
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914853250138112 |
|---|---|
| author | Caldiroli, Paolo Capietto, Anna |
| author_facet | Caldiroli, Paolo Capietto, Anna |
| contents | By variational methods, we prove existence of planar closed curves with prescribed curvature for some classes of curvature functions. The main difficulty is to obtain bounded Palais-Smale sequences. This is achieved by adding a parameter in the problem and using a version of the "monotonicity trick" introduced by M. Struwe in 1988. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01062 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Planar closed curves with prescribed curvature Caldiroli, Paolo Capietto, Anna Differential Geometry By variational methods, we prove existence of planar closed curves with prescribed curvature for some classes of curvature functions. The main difficulty is to obtain bounded Palais-Smale sequences. This is achieved by adding a parameter in the problem and using a version of the "monotonicity trick" introduced by M. Struwe in 1988. |
| title | Planar closed curves with prescribed curvature |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2407.01062 |