Existence Of Monopoles And Dyons By Methods Of Calculus Of Variations

In this paper, we obtain the existence , uniqueness and equivalence theorems formagnetic monopoles in general (4p?1)-dimensional Yang-Mills theory by variationalmethod. It generalized the theorems of Maison and Yang in low dimensions. On theother hand, we get the existence and asymptotic of dyons in SO(3) gauge Skyrmemodel by indefinite variational method. It present the analytic prove of the solutionconstrued numerically by Y.Brihaye, B.Hartmann and D.H.Tchrakian.