2 problems

Let $Omegasubset"); mathbb{R}^n$ be a bounded domain, and consider the Aviles–Giga functional … Write $J_{\nabla u}$ for the jump set of $\nabla u$, $[\nabla u]$ for its jump, and…

The smectic layers have Gaussian curvature, and BPS solutions are solutions of the Bogomolny–Prasad–Sommerfield equation that minimize, or approximately minimize, the smectic energ…