Summary: We study the sublaplacian \(\Delta _b\) on a strictly pseudoconvex CR manifold endowed with a contact form. \(\Delta _b\) is approximated by a continuous family of second order elliptic operators \(\{\Delta _{\varepsilon} \}_{\varepsilon >0}\). If \(\{\Delta _{\varepsilon} \}_{\varepsilon >0}\) is uniformly \(K\)-positive definite (in the sense of W. V. Petryshyn, [J. Math. Anal. Appl. 10, 1–24 (1965; Zbl 0135.36503)]), then we produce generalized solutions to \(\Delta _b u=f\).