run after
US /rʌn ˈæf.tər/
UK /rʌn ˈæf.tər/

1.
correr detrás de, perseguir
to chase or pursue someone or something
:
•
The dog loves to run after squirrels in the park.
Al perro le encanta correr detrás de las ardillas en el parque.
•
She had to run after her child who suddenly darted into the street.
Tuvo que correr detrás de su hijo que de repente se lanzó a la calle.
2.
correr tras, buscar
to try to achieve or obtain something, often with great effort
:
•
Many young people run after fame and fortune.
Muchos jóvenes corren tras la fama y la fortuna.
•
He's always running after the latest trends.
Siempre está corriendo detrás de las últimas tendencias.