From the airport
Taxi: It's a 30-40 minute trip and is around €35.
Aerobus shuttle: Departs every 5-10 minutes from terminals 1 and 2, daily from 5:35 AM to 01:05 AM. Tickets can be purchased on the bus. For more information see here. Drops off at Plaça Espany and from there its a L3 subway ride to Les Corts.