Gamma-convergence and homogenisation for a class of degenerate functionals

Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Dragoni, Federica ORCID: https://orcid.org/0000-0001-6076-9725, Mannucci, Paola and Marchi, Claudio 2020. Gamma-convergence and homogenisation for a class of degenerate functionals. Nonlinear Analysis 190 , 111618. 10.1016/j.na.2019.111618

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Abstract

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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Institute of Mathematics and Informatics
ISSN:	1392-5113
Funders:	EPSRC
Related URLs:	https://arxiv.org/abs/1906.11692v1
Date of First Compliant Deposit:	28 August 2019
Date of Acceptance:	27 August 2019
Last Modified:	14 Nov 2024 19:00
URI:	https://orca.cardiff.ac.uk/id/eprint/125163

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