Integral Representation of Local Left–Invariant Functionals in Carnot Groups
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.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Integral Representation of Local Left–Invariant Functionals in Carnot Groups ; volume:8 ; number:1 ; year:2019 ; pages:1-14 ; extent:14
Analysis and geometry in metric spaces ; 8, Heft 1 (2019), 1-14 (gesamt 14)
- Creator
-
Maione, A.
Vecchi, E.
- DOI
-
10.1515/agms-2020-0001
- URN
-
urn:nbn:de:101:1-2024041116353865468162
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
14.08.2025, 10:51 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Maione, A.
- Vecchi, E.
Other Objects (12)
Integral representation of local functionals depending on vector fields
NOTE ON CONVEX INTEGRAL FUNCTIONALS
Relaxation and Integral Representation for Functionals of Linear Growth on Metric Measure spaces
Law-invariant functionals that collapse to the mean
Homogenization of differential operators and integral functionals
On rectifiable measures in Carnot groups: representation
Law-Invariant Functionals that Collapse to the Mean: Beyond Convexity
Law-Invariant Functionals that Collapse to the Mean: Beyond Convexity
Optimizing free energy functionals in integral equation theories
Stochastic homogenization of degenerate integral functionals with linear growth
On the Lavrentiev gap for convex, vectorial integral functionals
On the weighted fractional integral inequalities for Chebyshev functionals
Integral representation of local functionals depending on vector fields
NOTE ON CONVEX INTEGRAL FUNCTIONALS
Relaxation and Integral Representation for Functionals of Linear Growth on Metric Measure spaces
Law-invariant functionals that collapse to the mean
Homogenization of differential operators and integral functionals
On rectifiable measures in Carnot groups: representation
Law-Invariant Functionals that Collapse to the Mean: Beyond Convexity
Law-Invariant Functionals that Collapse to the Mean: Beyond Convexity
Optimizing free energy functionals in integral equation theories
Stochastic homogenization of degenerate integral functionals with linear growth
On the Lavrentiev gap for convex, vectorial integral functionals
On the weighted fractional integral inequalities for Chebyshev functionals
Integral representation of local functionals depending on vector fields
NOTE ON CONVEX INTEGRAL FUNCTIONALS
Relaxation and Integral Representation for Functionals of Linear Growth on Metric Measure spaces
Law-invariant functionals that collapse to the mean
Homogenization of differential operators and integral functionals
On rectifiable measures in Carnot groups: representation
Law-Invariant Functionals that Collapse to the Mean: Beyond Convexity
Law-Invariant Functionals that Collapse to the Mean: Beyond Convexity
Optimizing free energy functionals in integral equation theories
Stochastic homogenization of degenerate integral functionals with linear growth
On the Lavrentiev gap for convex, vectorial integral functionals