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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Official URL: https://doi.org/10.1016/j.na.2019.111618
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 |
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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 |
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