I am trying to find the general solution to the following PDE:
$$ \left(\frac {\partial f} {\partial x}-1\right) \left(\frac {\partial f} {\partial y}-1\right) +\frac {\partial^2 f} {\partial x \partial y}f =0$$
The problem came up in a certain mechanism design model trying to analyse climate treaties. A general solution to the above PDE would enable me to compute an optimal treaty within the model.
