Willows don't break under snow.

Literal

Willow [possessive-の] branch [location-に] snow-breaking not-exist.

A proverb teaching that flexibility beats rigidity: the supple willow bends under snow rather than snapping. 雪折れ ('snow-breaking') is a compound noun for branches breaking under snow's weight. なし is the classical adjective meaning 'there is not.' The metaphor applies to resilience in adversity — those who yield and adapt endure, while the rigid break.