Differential Inclusions Involving the Curl Operator
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910427119616000 |
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| author | Nesha, Nurun |
| author_facet | Nesha, Nurun |
| contents | In this article, we study the existence of $η\in W_0^{1,\infty}(Ω;\mathbb R^n)$ satisfying $$\textrm{curl} \ η\in E \textrm{ a.e. in }Ω,$$ where $n\in \mathbb N, Ω\subseteq \mathbb R^n$ is open, bounded and $E\subseteq Λ^2.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18744 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Differential Inclusions Involving the Curl Operator Nesha, Nurun Analysis of PDEs Classical Analysis and ODEs Optimization and Control 49J53, 34K32 In this article, we study the existence of $η\in W_0^{1,\infty}(Ω;\mathbb R^n)$ satisfying $$\textrm{curl} \ η\in E \textrm{ a.e. in }Ω,$$ where $n\in \mathbb N, Ω\subseteq \mathbb R^n$ is open, bounded and $E\subseteq Λ^2.$ |
| title | Differential Inclusions Involving the Curl Operator |
| topic | Analysis of PDEs Classical Analysis and ODEs Optimization and Control 49J53, 34K32 |
| url | https://arxiv.org/abs/2404.18744 |