Lower semicontinuity of nonlocal $L^{\infty }$ energies on $SB{V}_0(I)$

Jose Matias, Pedro M. Santos, Elvira Zappale

We characterize the lower-semicontinuity of nonlocal one-dimensional energies of the type \[{\rm ess}\!\!\!\!\!\!\!\!\sup_{(s,t) \in I\times I} h([u](s), [u](t)),\] where $I$ is an…