The data from the Energetic Gamma Ray Experiment Telescope (EGRET) all
-sky survey are examined for emission from the nearby galaxies M31, M8
7, NGC 253, and M82 in the high-energy (E > 30 MeV) gamma-ray range. N
o significant emission is observed from any of these galaxies. The der
ived upper limits for all four galaxies are consistent with that expec
ted from cosmic-ray interactions. For M87, the combination of the high
-energy gamma-ray and radio data point to a lower limit of 7 muG for t
he magnetic field in the disk and 4 muG for the magnetic field in the
halo, consistent with equipartition arguments. A study of NGC 253 and
M82 show that EGRET observations do not sufficiently constrain the mea
n cosmic-ray energy density to provide more details on the cosmic-ray
distribution in starburst galaxies.