Dietrich Häfner, Cécile Huneau. Source: Advances in Differential Equations, Volume 24, Number 7/8, 435--464.Abstract:
We consider the spherically symmetric $SU(2)$ Yang-Mills fields on the Schwarzschild metric. Within the so called purely magnetic Ansatz, we show that there exists a countable number of stationary solutions which are all nonlinearly unstable.