The specific linear energy for the case of two-dimensional two-phase s
ystems with a contact line can have a positive value only. For the cas
e of complex capillary systems with bulk, surface and linear phases th
e linear energy can be either positive or negative. Such behaviour of
these quantities, defined by making use of the formalism with the OMEG
A-potential, is in close connection with the mechanical equilibrium st
ability conditions. There is experimental evidence for the above concl
usions. The methods of determining the specific linear energy for the
case of a black film in contact with a bulk solution are reviewed. The
two-dimensional case is illustrated by examining the fluctuational fo
rmation of holes in amphiphile bilayers.