Signal-to-leakage-and-noise ratio (SLNR) is a pro\-mising criterion for linear precoder design in multiuser multiple-input multiple-output systems. In this paper, an expression of a precoder maximizing the SLNR based on the generalized Rayleigh quotient theorem is derived for cellular networks. Compared with the conventional SLNR precoders, we consider the non-homogeneous average received signal-to-noise ratio (SNR) condition due to the random network geometry and the leakage to other cells. We aim at characterizing the energy efficiency-area spectral efficiency (EE-ASE) region for a Poisson point process (PPP) network using this precoder for different base station (BS) densities and number of BS antennas when static power consumption is considered. Simulation results demonstrate the superiority of the SLNR precoder over zero-forcing (ZF) precoder in terms of EE-ASE tradeoff. Our contribution lies in the analysis of the performance of SLNR precoder in PPP networks in terms of tradeoff between EE and SE, and in the comparison between the well known ZF precoder and SLNR precoder, when static power consumption is considered.