Proves Brezis-Nirenberg type existence/nonexistence and regularity for critical Choquard problem driven by Kohn Laplacian on bounded domains in the Heisenberg group.
Lieb, Existence and uniqueness of the minimizing solution of Choqu ards nonlinear equation, Studies in Applied Mathematics 57 (1976/77), 93–105
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Brezis-Nirenberg type result for Kohn Laplacian with critical Choquard Nonlinearity
Proves Brezis-Nirenberg type existence/nonexistence and regularity for critical Choquard problem driven by Kohn Laplacian on bounded domains in the Heisenberg group.