Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization

Giovanni Di Fratta, Antonin Monteil, Valeriy Slastikov

We consider ${\mathbb{S}}^2$-valued maps on a domain $\Omega \subset {\mathbb{R}}^N$ minimizing a perturbation of the Dirichlet energy with vertical penalization in $\Omega$ and horizontal penaliz…