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Timeline for Poisson equation on manifolds

Current License: CC BY-SA 4.0

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Mar 10, 2023 at 17:34 history edited Joel Fine CC BY-SA 4.0
Rewrote to make clear I was talking about the impossibility of finding a solution for general right-hand side.
Mar 10, 2023 at 17:32 comment added Joel Fine @PietroMajer, that's a very good comment. My original answer was meant to explain why for arbitrary $f$ you can't hope to have a solution. I've edited it now. RBega2's answer above is much more complete.
Mar 9, 2023 at 12:53 comment added Pietro Majer What is wrong if we start from a smooth $u$ with support in B and choose $f:=\Delta u$?
Mar 9, 2023 at 12:29 history answered Joel Fine CC BY-SA 4.0