Timeline for Strong maximum principle for weak solutions still holds?
Current License: CC BY-SA 4.0
3 events
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| May 18, 2023 at 17:09 | comment | added | Giorgio Metafune | In this context the SMP follows from Harnack inequality. If $m$ is the infimum of $u$, then $v=u-m$ has infimum 0. If $v(x_0)=0$, then $\sup_B v \leq C \inf_B v=0$ for any ball $B$ containing $x_0$. The set of zeros of $v$ is then open and closed and $v=0$. | |
| May 18, 2023 at 15:33 | history | edited | YCor | CC BY-SA 4.0 |
formatting, added tag
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| May 18, 2023 at 15:17 | history | asked | user29999 | CC BY-SA 4.0 |