Asymptotic behavior of critical points of an energy involving a loop-well potential

Petru Mironescu, Itai Shafrir

We describe the asymptotic behavior of critical points of ${\int }_{\Omega }[(1/2)|\nabla u{|}^2+W(u)/{\epsilon }^2]$ when $\epsilon \to 0$. Here, $W$ is a Ginzburg-Landau type potential, va…