Note on injectivity in second-gradient Nonlinear Elasticity

Stanislav Hencl, Kaushik Mohanta

Let $q>1$, $(1-\frac{1}{q})a\ge 1$ and let $\hat{I}\text{c◯}\subset {\mathbb{R}}^2$ be Lipschitz domain. We show that planar mappings in the second order Sobolev space $f\in W^{2,q}(Ω,\mathbb{R}…