Fetching details from the dictionary...

to endure; to keep out (e.g. rain); to stave off (e.g. starvation)
to pull through; to get over; to survive
to surpass; to outdo; to excel; to eclipse; to defy; to slight
厳しい冬の寒さを凌ぐために薪を集めていた。
I was gathering firewood to endure the harsh winter cold.
今年の売上は昨年を凌ぐ勢いで伸びているようだ。
This year's sales seem to be growing at a pace surpassing last year.
困難な時期を凌いで会社は復活を遂げたのだ。
The company achieved revival after enduring difficult times.