Recently, D. Angella, S. Calamai, F. Pediconi and C. Spotti extends the Donaldson-Fujiki interpretation of the scalar curvature as a momentum map in Kahler Geometry to the wider framework of locally conformally Kahler (LCK) Geometry. In this case, the momentum map u involve both the scalar curvature and the Lee form of the LCK metric. In this talk, we will discuss the Yamabe-type problem for u. This is a joint work with D. Angella, F. Pediconi and C. Spotti.