hold one's own
• retain a position of strength in a challenging situation.
• "Britain has begun to hold its own in world markets"
Similar:
stand firm,
stand one's ground,
maintain/keep one's position,
keep one's end up,
keep one's head above water,
compete,
survive,
manage,
cope,
get through,
get on,
get along,
get by,
Opposite:
go under,