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| We consider a Fokker-Planck equation in a general domain in $\R^n$ with $L^{p}_{loc}$ drift term and $W^{1,p}_{loc}$ diffusion term for any $p>n$. By deriving an integral identity, we give several measure estimates for regular stationary solutions in an exterior domain with respect to diffusion and Lyapunov-like or anti-Lyapunov-like functions. These estimates will be useful to problems such as the existence and non-existence of stationary solutions in a general domain as well as the concentration and limit behaviors of stationary solutions as diffusion vanishes |
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