Differential Inclusions Involving the Curl Operator
Nurun Nesha · arXiv (Cornell University) · 2024
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 $E\subseteq Λ^2.$