Lipschitz minimizers for a class of integral functionals under the bounded slope condition

Sebastiano Don, Luca Lussardi, Andrea Pinamonti +1

We consider the functional ${\int }_{\Omega }g(\nabla u+{\text{X}}^{\ast })d{\mathcal{L}}^{2n}$ where $g$ is convex and ${\text{X}}^{\ast }(x,y)=2(-y,x)$ and we study the minimizers in $BV(\Omega )$ of the as…