  In this paper, we continue the study of cominimaxness modules with respect to
an ideal of a commutative Noetherian ring (cf. \cite{ANV}), and
  Bass numbers of local cohomology modules.
  Let $R$ denote a commutative Noetherian local ring and $I$ an ideal of $R$.
We first show that the Bass numbers $\mu^0(\frak p, H^2_I(R))$ and $\mu^1(\frak
p, H^2_I(R))$ are finite for all $\frak p\in \Spec R$, whenever $R$ is regular.
As a consequence, it follows that the Goldie dimension of $H^2_I(R)$ is finite.
Also, for a finitely generated $R$-module $M$ of dimension $d$, it is shown
that the Bass numbers of $H^{d-1}_{I}(M)$ are finite if and only if
$\Ext^i_R(R/I, H^{d-1}_{I}(M))$ be minimax for all $i\geq0$. Finally, we prove
that if $\dim R/I=2$, then the Bass numbers of $H^{n}_{I}(M)$ are finite if and
only if $\Ext^i_R(R/I, H^{n}_{I}(M))$ be minimax, for all $i\geq0$, where $n$
is a non-negative integer.
