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.
A Brezis-Nirenberg type result for systems on stratified Lie groups
Loiudice A.
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2026-01-01
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.File in questo prodotto:
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