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

created by pinamonti on 11 Apr 2019
modified on 13 Apr 2019

[BibTeX]

Submitted Paper

Inserted: 11 apr 2019
Last Updated: 13 apr 2019

Year: 2019

Abstract:

Given a family of locally Lipschitz vector fields $X(x)=(X_1(x),\dots,X_m(x))$ on $\mathbb{R}^n$, $m\leq n$, we study functionals depending on $X$. We prove an integral representation for local functionals with respect to $X$ and a result of $\Gamma$-compactness for a class of integral functionals depending on $X$.