Stability and symmetry-breaking bifurcation for the ground states of a NLS with a ${\delta }^{\prime }$ interaction

Riccardo Adami, Diego Noja

We determine and study the ground states of a focusing Schrödinger equation in dimension one with a power nonlinearity $|\psi {|}^{2\mu }\psi$ and a strong inhomogeneity represented by a sing…