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.