Mathematical Analysis Of The Skyrme-like Monopole

In this paper, We discuss that the spherically symmetric monopole solution is exis-tence by variational method, at the same time we find some properties of energy-minimize solution. Especially, when theκ= 0, we get BPS monopoles equations, we research some properties about BPS solution, finally we note that as the parameterκ→0 the Skyrme-like Monopole approach the Bogomol'nyi-Prasad-Sommerfield (BPS) solution uniformly...