Prescribing singularities of weak solutions of a nonlinear elliptic system in the plane
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929243198324736 |
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| author | Petraszczuk, Bogdan |
| author_facet | Petraszczuk, Bogdan |
| contents | Inspired by Frehse's [1] 1973 work, we show that his elliptic system $Δu = F(u, \nabla u)$ in the plane has bounded weak solutions $u$ with arbitrarily prescribed singular sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09224 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Prescribing singularities of weak solutions of a nonlinear elliptic system in the plane Petraszczuk, Bogdan Analysis of PDEs 35J60, 35J47 Inspired by Frehse's [1] 1973 work, we show that his elliptic system $Δu = F(u, \nabla u)$ in the plane has bounded weak solutions $u$ with arbitrarily prescribed singular sets. |
| title | Prescribing singularities of weak solutions of a nonlinear elliptic system in the plane |
| topic | Analysis of PDEs 35J60, 35J47 |
| url | https://arxiv.org/abs/2402.09224 |