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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.22599 |
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| _version_ | 1866916665162203136 |
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| author | Nguyen, Luc |
| author_facet | Nguyen, Luc |
| contents | We give an existence and classification result for zero-homogeneous and $O(2)$-equivariant critical points of the Oseen-Frank energy with multiple Frank constants. These critical points carry a topological defect of degree one and are minimizing with respect to $O(2)$-equivariant perturbations supported away from the axis of symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22599 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Zero-homogeneous and $O(2)$-equivariant critical points of the Oseen-Frank energy with multiple Frank constants Nguyen, Luc Analysis of PDEs Mathematical Physics 35J57, 35Q92, 58E15, 76A15 We give an existence and classification result for zero-homogeneous and $O(2)$-equivariant critical points of the Oseen-Frank energy with multiple Frank constants. These critical points carry a topological defect of degree one and are minimizing with respect to $O(2)$-equivariant perturbations supported away from the axis of symmetry. |
| title | Zero-homogeneous and $O(2)$-equivariant critical points of the Oseen-Frank energy with multiple Frank constants |
| topic | Analysis of PDEs Mathematical Physics 35J57, 35Q92, 58E15, 76A15 |
| url | https://arxiv.org/abs/2503.22599 |