$\Gamma -$convergence of energy functionals in fractional Orlicz spaces beyond the ${\Delta }_2$ condition

Ignacio Ceresa Dussel, Julián Fernández Bonder, Ariel Salort

Given a Young function $A$, $n\ge 1$ and $s\in (0,1)$ we consider the energy functional $$ \mathcal{J}_s(u)=(1-s)\iint_{\mathbb{R}^n\times \mathbb{R}^n} A\left(\frac{|u(x)-u(y)|}{|…