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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.00371 |
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Table of Contents:
- We prove a Nečas-Lions inequality with symmetric gradients on two and three dimensional domains of diameter $R$ that are star-shaped with respect to a ball of radius $ρ$; the constants in the inequality are explicit with respect to $R$ and $ρ$. Crucial tools in deriving this inequality are a first order Babuška-Aziz inequality based on Bogovskiĭ's construction of a right-inverse of the divergence and Fourier transform techniques proposed by Durán. As a byproduct, we derive arbitrary order estimates in arbitrary dimension for that operator.