The self-similar viscous how of incompressible fluid along the right-a
ngle unbounded corner with nonzero streamwise pressure gradient is con
sidered. The corner layer equations for this case are derived, and the
ir asymptotic series are analyzed. It is shown that self-similar corne
r layer equations have two solutions, even at a zero streamwise pressu
re gradient. The numerical procedure for the integration of corner lay
er equations is developed, and numerical calculations are performed at
several values of power exponent for a streamwise pressure gradient d
istribution.