Invertibility of Sobolev maps through approximate invertibility at the boundary and tangential polyconvexity

Carlos Mora-Corral, David Mur-Callizo

We work in a class of Sobolev $W^{1,p}$ maps, with $p>d-1$, from a bounded open set $\Omega \subset {\mathbb{R}}^d$ to ${\mathbb{R}}^d$ that do not exhibit cavitation and whose trace o…