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Timeline for 2D semilinear elliptic PDE

Current License: CC BY-SA 3.0

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Jul 30, 2022 at 18:39 comment added Bob Stewart The above PDE is the 2017 corrected equation which has a + sign for the last term. The excellent analysis given below is not valid because it was based upon the previously posted incorrect 2014 version of the PDE with a - sign in font of the last term (my mistake). So according to @Willie Wong, the above corrected PDE may have a nontrivial solution (subject to more analysis), and I believe it does have only one solution although I have not yet found it. I will post the answer if and when I find it.
Jun 14, 2017 at 2:50 history edited Bob Stewart CC BY-SA 3.0
I discovered a sign error, thus the old trivial solution is no longer valid, and the third condition is modified.
Feb 25, 2015 at 3:51 history edited Bob Stewart CC BY-SA 3.0
updated the text to reflect deleted posts
Jan 27, 2015 at 2:32 history edited Bob Stewart CC BY-SA 3.0
update on status of the original PDE
Sep 4, 2014 at 15:44 comment added Bob Stewart @Joonas Ilmavirta I do not think this PDE is an Euler-Lagrange equation.
Sep 4, 2014 at 15:22 vote accept Bob Stewart
Jul 30, 2022 at 18:20
Sep 4, 2014 at 12:53 answer added Willie Wong timeline score: 5
Sep 4, 2014 at 6:10 comment added Joonas Ilmavirta Do you know if the PDE should be the Euler-Lagrange equation for some minimization problem? That might help.
Sep 4, 2014 at 4:58 review First posts
Sep 4, 2014 at 5:57
Sep 4, 2014 at 4:56 history asked Bob Stewart CC BY-SA 3.0