A variational singular perturbation problem motivated by Ericksen's model for nematic liquid crystals

Dmitry Golovaty, Itai Shafrir

We study the asymptotic behavior, when $\epsilon \to 0$, of the minimizers $\{u_{\epsilon }{\}}_{\epsilon >0}$ for the energy \begin{equation*} E_\varepsilon(u)=\int_Ω\Big(|\nabla…