Singular perturbation of manifold-valued maps with anisotropic energy

Andres Contreras, Xavier Lamy

We establish small energy Hölder bounds for minimizers $u_{\epsilon }$ of \[E_\varepsilon (u):=\int_ΩW(\nabla u)+ \frac{1}{\varepsilon^2} \int_Ωf(u),\] where $W$ is a positive defi…