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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/2501.04033 |
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| _version_ | 1866909450984488960 |
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| author | Bensid, Sabri |
| author_facet | Bensid, Sabri |
| contents | We investigate a class of elliptic free boundary problems, including a generalized Prandtl Batchelor type problem with a singularity on a stratified Lie group. The associated energy functional is nondifferentiable, which precludes the direct application of standard variational techniques. Our analysis combines elliptic regularity theory with the mountain pass theorem in a non-Euclidean setting |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04033 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a Generalized Prandtl-Batchelor Free Boundary Problem with a Singularity on a Stratified Lie Group Bensid, Sabri Analysis of PDEs We investigate a class of elliptic free boundary problems, including a generalized Prandtl Batchelor type problem with a singularity on a stratified Lie group. The associated energy functional is nondifferentiable, which precludes the direct application of standard variational techniques. Our analysis combines elliptic regularity theory with the mountain pass theorem in a non-Euclidean setting |
| title | On a Generalized Prandtl-Batchelor Free Boundary Problem with a Singularity on a Stratified Lie Group |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.04033 |