$\Gamma$-convergence of non-local, non-convex functionals in one dimension

Haim Brezis, Hoai-Minh Nguyen

We study the $\Gamma$-convergence of a family of non-local, non-convex functionals in $L^p(I)$ for $p\ge 1$, where $I$ is an open interval. We show that the limit is a multiple of the…