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Mathematics > Analysis of PDEs

Title: Differential Inclusions Involving the Curl Operator

Authors: Nurun Nesha
Abstract: In this article, we study the existence of $\eta\in W_0^{1,\infty}(\Omega;\mathbb R^n)$ satisfying $$\textrm{curl} \ \eta\in E \textrm{ a.e. in }\Omega,$$ where $n\in \mathbb N, \Omega\subseteq \mathbb R^n$ is open, bounded and $E\subseteq \Lambda^2.$
Comments: 15 pages
Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Optimization and Control (math.OC)
MSC classes: 49J53, 34K32
Cite as: arXiv:2404.18744 [math.AP]
  (or arXiv:2404.18744v1 [math.AP] for this version)

Submission history

From: Nurun Nesha [view email]
[v1] Mon, 29 Apr 2024 14:44:24 GMT (419kb)

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