Earlier on Sunday, Lille tightened their grip on second spot with a 1-0 home win over Girondins Bordeaux, while Rennes were held to a 1-1 draw by visiting Guingamp.
Marseille dominated the opening stages, but Lyon always looked more likely to score and Cornet gave them a 24th-minute lead when he drilled the ball past goalkeeper Steve Mandanda from close range.
Lyon keeper Anthony Lopes kept the visitors ahead with a string of superb saves in the second half before the home side had central defender Duje Caleta-Car sent off in the 67th minute for a last-man foul on Martin Terrier.
The visitors took full advantage as Dembele made it 2-0 in the 84th minute with a superb shot which gave Mandanda no chance before Cornet broke away to seal Lyon's win with a clinical finish two minutes later.
The outcome ended Marseille's hopes of playing in European competition next season as they can no longer finish in fourth place to join French Cup winners Rennes and League Cup winners Strasbourg in the Europa League.
The top two from Ligue 1 gain automatic berths in next season's Champions League while the third-placed team enter the elite European club competition's qualifying rounds.
(Writing by Zoran Milosavljevic; Editing by Ken Ferris)
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