Sequential Weak Approximation for Maps of Finite Hessian Energy

Robert Hardt, Tristan Rivière

Consider the space $W^{2,2}(\Omega ;N)$ of second order Sobolev mappings $v$ from a smooth domain $\Omega \subset {\mathbb{R}}^m$ to a compact Riemannian manifold $N$ whose Hessian energy $\int_Ω|\na…