# 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 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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