# Γ-convergence for functionals depending on vector fields. II. Convergence of minimizers

created by maione on 26 Apr 2021
modified on 28 Apr 2021

[BibTeX]

Submitted Paper

Inserted: 26 apr 2021
Last Updated: 28 apr 2021

Year: 2021

ArXiv: 2104.12892 PDF

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 integral functionals depending on $X$. Using the results in \cite{MPSC1}, we study the convergence of minima, minimizers and momenta of those functionals. Moreover, we apply these results to the periodic homogenization in Carnot groups and to prove a $H$-compactness theorem for linear differential operators of the second order depending on $X$.