  The asymptotic behavior of solutions to the second order elliptic equations
in exterior domains is studied. In particular, under the assumption that the
solution belongs to the Lorentz space $L^{p,q}$ or the weak Lebesgue space
$L^{p,\infty}$ with certain conditions on the coefficients, we give natural and
an almost sharp pointwise estimate of the solution at spacial infinity. The
proof is based on the argument by Korobkov--Pileckas--Russo [4], in which the
decay property of the solution to the vorticity equation of the two-dimensional
Navier--Stokes equations was studied.
