Thin magnetic films displaying perpendicular magnetic anisotropy, with an out-of-plane easy axis, often show
the presence of stripe domains that can break into cylindrical domains, producing in the end the formation of
bubbles or skyrmions. Perpendicular magnetic anisotropy is considered to provide spin texture stabilization in
topological materials. This paper reports a theoretical study of the stability of cylindrical domains and the
interaction of cylindrical domains with each other and with the magnetic host material. In particular, the case
of cylindrical domains of circular cross section has been deepened and a method for experimental determination
of the saturation magnetization in a thin ferromagnetic film has been proposed.