$SU(2)$ Yang-Mills-Higgs functional with Higgs self-interaction on $3$-manifolds

Da Rong Cheng, Daniel Fadel, Luiz Lara

Given a constant $\lambda >0$, for any parameter $\epsilon >0$ we study critical points of the Yang--Mills--Higgs energy \[ \mathcal{Y}_{\varepsilon}(\nabla,Φ) = \int_M \left(\varepsilo…