A necessary condition in a De Giorgi type conjecture for elliptic systems in infinite strips

Radu Ignat, Antonin Monteil

Given a bounded Lipschitz domain $\omega \subset {\mathbb{R}}^{d-1}$ and a lower semicontinuous function $W:{\mathbb{R}}^N\to {\mathbb{R}}_{+}\cup \{+\infty \}$ that vanishes on a finite set and tha…