Very weak solutions of the Dirichlet problem for 2-Hessian equation
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912605367435264 |
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| author | Li, Tongtong Qiu, Guohuan |
| author_facet | Li, Tongtong Qiu, Guohuan |
| contents | For any $α$ small, we construct infinitely many $C^{1,α}$ very weak solutions to the 2-Hessian equation with prescribed boundary value. The proof relies on the convex integration method and cut-off technique. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09356 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Very weak solutions of the Dirichlet problem for 2-Hessian equation Li, Tongtong Qiu, Guohuan Analysis of PDEs For any $α$ small, we construct infinitely many $C^{1,α}$ very weak solutions to the 2-Hessian equation with prescribed boundary value. The proof relies on the convex integration method and cut-off technique. |
| title | Very weak solutions of the Dirichlet problem for 2-Hessian equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2403.09356 |