Equation 5.37.1235D5D6699C73

\begin{equation} \bar\partial u=b,\qquad \int |u|^2\mathrm e^{\Phi -\chi }\, \mathrm{d}V \leq \int (1-\mathrm e^\Phi )|b|_ A^2 \mathrm e^{-\chi }\, \mathrm{d}V. \end{equation}