## Advances in Differential Equations

### Instability of infinitely-many stationary solutions of the $SU(2)$ Yang-Mills fields on the exterior of the Schwarzschild black hole

#### 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.

#### Article information

Source
Adv. Differential Equations, Volume 24, Number 7/8 (2019), 435-464.

Dates
First available in Project Euclid: 2 May 2019

Permanent link to this document
Häfner, Dietrich; Huneau, Cécile. Instability of infinitely-many stationary solutions of the $SU(2)$ Yang-Mills fields on the exterior of the Schwarzschild black hole. Adv. Differential Equations 24 (2019), no. 7/8, 435--464. https://projecteuclid.org/euclid.ade/1556762455