Variational properties of local functionals driven by arbitrary anisotropies
Abstract We provide integral representation, $$\Gamma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Γ</mml:mi> </mml:math> -compactness and relaxation results for anisotropic local functionals depending on arbitrary Lipschitz continuous vector fields. In particular, neither bracket-generating assumptions nor linear independence conditions are required.
Authors
- Simone Verzellesi (ORCID: https://orcid.org/0000-0002-3008-9160)
Institutions
- University of Padua (IT)
Publication Details
- Journal
- Calculus of Variations and Partial Differential Equations
- Published
- 2025-11-11
- DOI
- https://doi.org/10.1007/s00526-025-03176-2
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni