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Results tagged with harmonic-functions
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user 478411
For questions regarding harmonic functions.
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Ratio of measure of level region for harmonic functions
Let $u$ be a harmonic function defined on $B_1(0)\subset\mathbb{R}^2$, $u(0)=0$, and $\{x\in B_1(0):u(x)>0\}$ is simply connected. Is there a universal constant $c>0$ satisfying that
$$
c\leq \frac{m( …
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