Timeline for A Liouville theorem for a uniformly elliptic equation in divergence form
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Mar 23, 2018 at 9:50 | vote | accept | Onil90 | ||
| Mar 23, 2018 at 8:19 | comment | added | Connor Mooney | If $b$ decays like $1/|x|$ and $n \geq 2$ then bounded solutions are constants. One sees this using the scaling invariance of $\|b\|_{L^{\infty}(B_2 \backslash B_1)}$ and the Harnack inequality (see e.g. mathoverflow.net/questions/186856/… ). This is false in the case $n = 1$ because the annulus is not connected; take e.g. $u = \tan^{-1}(x)$ and $b(x) = 2x/(1+x^2)$. | |
| Mar 22, 2018 at 13:13 | answer | added | R W | timeline score: 2 | |
| Mar 22, 2018 at 10:56 | history | edited | Onil90 | CC BY-SA 3.0 |
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| Mar 22, 2018 at 10:31 | history | asked | Onil90 | CC BY-SA 3.0 |