Γ-convergence and homogenisation for a class of degenerate functionals

被引：9

作者：

Dirr, Nicolas ^{[1
]}

Dragoni, Federica ^{[1
]}

Mannucci, Paola ^{[2
]}

Marchi, Claudio ^{[3
]}

机构：

[1] Cardiff Univ, Cardiff Sch Math, Cardiff, S Glam, Wales

[2] Univ Padua, Dipartimento Matemat Tullio Levi Civita, Padua, Italy

[3] Univ Padua, Dipartimento Ingn Informaz, Padua, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 190卷

基金：

英国工程与自然科学研究理事会;

关键词：

Gamma-convergence; Homogenisation; Carnot groups; Heisenberg group; Hormander condition; Degenerate functionals; HAMILTON-JACOBI EQUATIONS; STOCHASTIC HOMOGENIZATION; OPERATORS; RESPECT; SPACES;

D O I：

10.1016/j.na.2019.111618

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2019 The Authors. Published by Elsevier Ltd.

引用

页数：25

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