Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

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

[thumbnail of main.pdf]
Preview
PDF - Published Version
Available under License Creative Commons Attribution.

Download (1MB) | Preview

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:
Date of First Compliant Deposit: 28 August 2019
Date of Acceptance: 27 August 2019
Last Modified: 18 Nov 2023 01:42
URI: https://orca.cardiff.ac.uk/id/eprint/125163

Citation Data

Cited 4 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics