Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals

Carolin Kreisbeck, Antonella Ritorto, Elvira Zappale

Motivated by the direct method in the calculus of variations in $L^{\infty }$, our main result identifies the notion of convexity characterizing the weakly${}^{\ast }$ lower semicontinuity…