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
Gamma-convergence and homogenisation for a class of degenerate functionals
paola mannucci;claudio marchi
2020
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 groupsFile in questo prodotto:
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