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We prove that the steady--state Navier--Stokes problem in a plane Lipschitzdomain $\Omega$ exterior to a bounded and simply connected set has a$D$-solution provided the boundary datum $\a \in L^2(\partial\Omega)$ satisfies${1\over 2\pi}|\int_{\partial\Omega}\a\cdot\n|<1$. If $\Omega$ is of class$C^{1,1}$, we can assume $\a\in W^{-1/4,4}(\partial\Omega)$. Moreover, we showthat for every $D$--solution $(\u,p)$ of the Navier--Stokes equations it holds$\nabla p = o(r^{-1}), \nabla_k p = O(r^{\epsilon-3/2}), \nabla_k\u =O(r^{\epsilon-3/4})$, for all $k\in{\Bbb N}\setminus\{1\}$ and for all positive$\epsilon$, and if the flux of $\u$ through a circumference surrounding$\complement\Omega$ is zero, then there is a constant vector $\u_0$ such that$\u=\u_0+o(1)$.

On the existence of D-solutions of the steady-state Navier-Stokes equations in plane exterior domains