In order to explain the anisotropy of the energy gap observed in direc
t photoemission experiments on the basis of the ''extended saddle-poin
t singularities'' in the electron-energy spectrum lying close to the F
ermi level, the assumption is made that the Coulomb interactions are w
eakly screened, i.e. the Debye screening radius is much larger than th
e lattice period; this makes the electron interaction anisotropic. Ano
ther consequence of this assumption is that at low temperatures the no
rmal-state resistivity is mostly defined by electron-electron scatteri
ng. and its temperature dependence is rho is-proportional-to T. Some a
spects of the model are discussed.