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Explicit div-curl inequalities in bounded and unbounded domains of $${{mathbb {R}}}^3$$ |
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| Authors: | Tahar Zamene Boulmezaoud Keltoum Kaliche Nabil Kerdid |
| Affiliation: | 1.Laboratoire de Mathématiques de Versailles,UVSQ, CNRS, Université Paris-Saclay,Versailles,France;2.College of Sciences, Department of Mathematics and Statistics, Al Imam Mohammad Ibn Saud University (IMSIU),Riyadh,Kingdom of Saudi Arabia |
| Abstract: | We give a constructive proof of some functional inequalities related to the div and curl operators in bounded and unbounded domains of ({{mathbb {R}}}^3). Our new innovation consists in giving explicit constants in several geometric configurations. These inequalities are of a first use in solving div-curl systems and vector potential problems arising in physics. |
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