$\Gamma$-convergence for functionals depending on vector fields. I. Integral representation and compactness

Alberto Maione, Andrea Pinamonti, Francesco Serra Cassano

Given a family of locally Lipschitz vector fields $X(x)=(X_1(x),\dots ,X_m(x))$ on ${\mathbb{R}}^n$, $m\le n$, we study functionals depending on $X$. We prove an integral representat…