  In this paper, we are concerned with the minimal regularity of both the
density and the velocity for the weak solutions keeping energy equality in the
isentropic compressible Navier-Stokes equations. The energy equality criteria
without upper bound of the density are established. Almost all previous
corresponding results requires $\rho\in
L^{\infty}(0,T;L^{\infty}(\mathbb{T}^{d}))$.
