A Brezis-Nirenberg type result for systems on stratified Lie groups
Abstract We provide Brezis-Nirenberg type results for subelliptic systems involving sub-Laplacian operators on Carnot groups, extending the results known for the scalar case. Precisely, we investigate existence and non-existence of solutions for critical growth systems with linear perturbations on bounded domains of the considered group.
Authors
- Annunziata Loiudice (ORCID: https://orcid.org/0000-0002-2625-3298)
- Vikram Yallapa Naik (ORCID: https://orcid.org/0009-0004-6612-2577)
Publication Details
- Journal
- ANNALI DELL UNIVERSITA DI FERRARA
- Published
- 2026-09-18
- DOI
- https://doi.org/10.1007/s11565-026-00755-9
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00