On the existence of Skyrme gauge field monopoles

In this paper, we study Skyrme-like monopoles which are topological solitons in three space dimensions. We prove the existence of symmetric monopole solutions in a gauged Skyrme model by a variational method. We also obtain some properties of the energy-minimizing solutions. For when the Skyrme coupling constant κ=0κ=0, we arrive at the BPS monopole equations. Furthermore, we obtain the relation between the BPS and non-BPS monopole solutions, and properties of the BPS monopole solution.