On bounded solutions of a classical yang-mills equation

We discuss bounded solutions of the equation $$r^2 \left( {\frac{{\partial ^2 u}}{{\partial r^2 }} + \frac{{\partial ^2 u}}{{\partial t^2 }}} \right) = u^3 - u$$ in the halfspacer>0. All solutions depending only ont/r are characterized topologically. Then we prove the existence of infinite dimensional manifolds oft-periodic as well as nonperiodic solutions which are small in a suitable norm.