From the airport
Taxi: It's a 20-30 minute trip and is around €30.
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 take the L3 subway ride to Les Corts.
Bus: Line A1 /Lines A2 to Pl Espanya stop. It's a 20 minutes trip.