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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/2508.01094 |
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Table of Contents:
- In this article, we study the necessary and sufficient conditions for the existence of solutions in $W_0^{1,\infty}(Ω;\mathbb R^n)$ in the minimal dimension of $\textrm{span }E$ for the following problem: \begin{equation*} P(D)u\in E \textrm{ a.e. in }Ω, \end{equation*} where $P(D)= D$ or $D+D^{\top}$, and $E\subseteq \mathbb R^{n\times n}$ is a given set. We conclude this paper with some properties of real symmetric matrices.