A note on Yamabe-type equations on the Heisenberg group (Q1572930)

The author obtains existence and nonexistence results for solutions of the equation \[ \Delta_{H^n}u+\alpha u+ Ku^p= 0 \] on the Heisenberg group \(H^n\), where \(\Delta_{H^n}\) is the Kohn Laplacian on \(H^n\) and \(a\), \(K\) are locally Hölder continuous functions on \(H^n\) satisfying suitable estimates. Previously known results are improved.