  We present results of calculations based on the Skyrme energy density
functional including the arbitrary mixing between protons and neutrons. In this
framework, single-particle states are superpositions of proton and neutron
components and the energy density functional is fully invariant with respect to
three-dimensional rotations in the isospin space. The isospin of the system is
controlled by means of the isocranking method, which carries over the standard
cranking approach to the isospin space. We show numerical results of the
isocranking calculations performed for isobaric analogue states in the A=14 and
$A=40-56$ nuclei. We also present such results obtained for high-isospin states
in $^{48}$Cr, with constraints on the isospin implemented by using the
augmented Lagrange method.
