Tootfinder

Removable singularities and Harnack inequality for nonlinear H\"ormander degenerate subelliptic equations
Jiayi Qiang, Yawei Wei, Mengnan Zhang
https://arxiv.org/abs/2510.00755

Removable singularities and Harnack inequality for nonlinear Hörmander degenerate subelliptic equations
This paper concerns the quasilinear subelliptic function derived from Hörmander vector fields. Based on the significant work of J. Serrin in \cite{SER}, M. Meier in \cite{MM1}, and L. Capogna, D. Danielli and N. Garofalo in \cite{LC1,LDN}, we obtain the removable singularities and Harnack inequality by a sharp Sobolev inequalities under weaker integrability of coefficients in structure conditions. Furthermore, we get the Hölder continuity when domain $Ω$ is equiregular.

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Frohe Weihnachten ;-)
https://sh.itjust.works/post/52138124

TIL in 2006 a Putin loyalist wrote a "fictional" novel accurately predicting Russia's future assault on Ukraine. In the novel, this escalates to WWIII followed by the surrender of the U.S. and Europe - sh.itjust.works
cross-posted from: https://sh.itjust.works/post/52137801 [https://sh.itjust.works/post/52137801] > Originally Published in the Atlantic (March 2022) Article without paywall: > https://www.removepaywall.com/search?url=https%3A%2F%2Fwww.theatlantic.com%2Fideas%2Farchive%2F2022%2F03%2Fputin-kremlin-foreign-policy-strategy%2F629388%2F [https://www.removepaywall.com/search?url=https%3A%2F%2Fwww.theatlantic.com%2Fideas%2Farchive%2F2022%2F03%2Fputin-kremlin-foreign-policy-strategy%2F629388%2F] > > Put…

LG smart TV owners say a webOS update pinned Microsoft Copilot to TV home screens, with no apparent way to remove the app; LG unveiled an AI TV strategy at CES (Luke James/Tom's Hardware)
https://www.tomshardware.com/service-provi

LG TV users baffled by unremovable Microsoft Copilot installation — surprise forced update shows app pinned to the home screen
Users report Copilot appearing after a recent software update, with no option to uninstall.

Starting to set up the framing of the north wall of the new workshop. Two interesting problems here:
1. Am I going to want a large door in this wall? I think I can't have one, because I want either the east or the west wall to be removable to allow more light and space in summer; but I really need to think about this!
2. The shape of the foundation is very squint. Consequently, although the north and south walls will be parallel, the east and west won't. I have some int…

huh, the slippery road sign does in fact make sense https://youtu.be/_eL_r7NbAvA

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