run after

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