Calculus of Variations and Geometric Measure Theory

N. Dirr - F. Dragoni - P. Mannucci - C. Marchi

$\Gamma$- convergence and homogenisation for a class of degenerate functionals.

created by dragoni on 27 Jun 2019
modified on 28 Aug 2019


Accepted Paper

Inserted: 27 jun 2019
Last Updated: 28 aug 2019

Journal: Nonlinear Analysis
Year: 2019


This paper is on $\Gamma$-convergence for degenerate integral functionals related to homogenisation problems in the Heisenberg group. Here both the rescaling and the notion of invariance or periodicity are chosen in a way motivated by the geometry of the Heisenberg group. Without using special geometric features, these functionals would be neither coercive nor periodic, so classic results do not apply. All the results apply to the more general case of Carnot groups.