# A Nonlinear Korn Inequality Based on the Green-Saint Venant Strain Tensor

@article{Musesti2016ANK,
title={A Nonlinear Korn Inequality Based on the Green-Saint Venant Strain Tensor},
author={Alessandro Musesti},
journal={Journal of Elasticity},
year={2016},
volume={126},
pages={129-134}
}
• A. Musesti
• Published 23 May 2016
• Mathematics
• Journal of Elasticity
A nonlinear Korn inequality based on the Green-Saint Venant strain tensor is proved, whenever the displacement is in the Sobolev space W1,p$W^{1,p}$, p≥2$p\geq 2$, under Dirichlet conditions on a part of the boundary. The inequality can be useful in proving the coercivity of a nonlinear elastic energy.
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