More weakly biharmonic maps from the ball to the sphere
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910723436707840 |
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| author | Branding, Volker |
| author_facet | Branding, Volker |
| contents | In this note we prove the existence of two proper biharmonic maps between the Euclidean ball of dimension bigger than four and Euclidean spheres of appropriate dimensions. We will also show that, in low dimensions, both maps are unstable critical points of the bienergy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02104 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | More weakly biharmonic maps from the ball to the sphere Branding, Volker Differential Geometry Analysis of PDEs In this note we prove the existence of two proper biharmonic maps between the Euclidean ball of dimension bigger than four and Euclidean spheres of appropriate dimensions. We will also show that, in low dimensions, both maps are unstable critical points of the bienergy. |
| title | More weakly biharmonic maps from the ball to the sphere |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2403.02104 |