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Rigidity and functional properties of $\mathrm{BD}_{dev}(\Omega)$

math.AP · 2025-05-29 · accept · novelty 8.0

The paper proves a rigidity structure theorem and computes an explicit kernel projection for maps of bounded deviatoric deformation in dimension n≥3, providing the main tools for relaxation and homogenization in BD_dev.

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  • Rigidity and functional properties of $\mathrm{BD}_{dev}(\Omega)$ math.AP · 2025-05-29 · accept · none · ref 1

    The paper proves a rigidity structure theorem and computes an explicit kernel projection for maps of bounded deviatoric deformation in dimension n≥3, providing the main tools for relaxation and homogenization in BD_dev.