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Sep 25, 2017 at 17:43 comment added Mateusz Kwaśnicki Whoops, of course you are right! But then there is no hope for Harnack's inequality, is there? The function $w(x) = \varepsilon + c |x - y|^2$ is a counterexample.
Sep 25, 2017 at 16:54 comment added Harish Thanks for the idea, but the function $w$ in the answer has laplacian negative , $\Delta w= -2nc$, I think it should have been $w(x)=u(x)+\frac{1}{2n}(|x|^2-1)$. In this case adjusting the constants is an issue.
Sep 25, 2017 at 16:05 history answered Mateusz Kwaśnicki CC BY-SA 3.0