Abstract: Let
be
a bounded domain with smooth boundary In
this paper, we consider the weighted non-selfadjoint
elliptic differential operator on
the space associated
with the noncoercive bilinear formwhere
is
the domain of the bilinear form. In view of
our earlier paper (see [Bull. Iran. Math. Soc.
24(1) (1998), 15-32]), let the conditions made
on the weighted function be
sufficiently more general than [Bull. Iran.
Math. Soc. 24(1) (1998), 15-32]. Here, under
Dirichlet-type boundary conditions, we
investigate the asymptotical formula for
distribution of the eigenvalues (ev) of the
operator P, and so we will find the resolvent of P.
