Integral Representation of Local Left–Invariant Functionals in Carnot Groups-Reference-Cited by-同舟云学术

Integral Representation of Local Left–Invariant Functionals in Carnot Groups

Published:2019-12-31 Issue:1 Volume:8 Page:1-14
ISSN:2299-3274
Container-title:Analysis and Geometry in Metric Spaces
language:en
Short-container-title:

Author:

Maione A.¹,Vecchi E.²

Affiliation:

1. Università di Trento , Povo, Italy

2. Politecnico di Milano , Milano , Italy

Abstract

Abstract The aim of this note is to prove a representation theorem for left–invariant functionals in Carnot groups. As a direct consequence, we can also provide a Г-convergence result for a smaller class of functionals.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/agms-2020-0001/pdf

Reference19 articles.

1. [1] G. Alberti, Integral representation of local functionals, Ann. Mat. Pura Appl. 165(4), (1993), 49–86.

2. [2] A. Bonfiglioli, E. Lanconelli and F. Uguzzoni, Stratified Lie Groups and Potential Theory for Their Sub-Laplacians, Springer, 2007.

3. [3] A. Braides, Г-convergence for beginners, Oxford University Press, Oxford, 2002, 22, xii+218.

4. [4] G. Buttazzo, Semicontinuity, relaxation and integral rapresentation, Longman, Harlow, 1989.

5. [5] G. Buttazzo and G. Dal Maso, On Nemyckii operators and integral representation of local functionals, Rend. Mat. 3(7), (1983), 491–509.

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