Brown ran 37 times for 184 yards and two touchdowns and the Tigers (9-4) shut down Penn State's offensive stars for their first bowl win since 1998.
Johnson, who rushed for 2,015 regular-season yards, was limited to 72 yards on 20 carries.
Penn State's four losses came by a total of 20 points, as coach Joe Paterno failed to pad his NCAA record 20 bowl wins after a two-year postseason absence.
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