This post is to note that the polymath13 project has successfully settled one of the major objective. Reports on it can be found on Gower’s blog especially in this post Intransitive dice IV: first problem more or less solved? and this post Intransitive dice VI: sketch proof of the main conjecture for the balanced-sequences model.

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Can you attempt this open problem of finding an almost closed form expression or if not expression but some insight into properties of first eigenfunction of p=3-Laplacian of a square domain in R^2 under periodic boundary conditions. (Some thing like the sin_p function in case of 1-D). I have computed the solution, but I need more insights than computation. Its simple structure suggest some insight may be gained into this function. Its been a long standing open problem and appreciate your insights suggestions and efforts.

https://mathoverflow.net/q/279771/14414

Regards

Rajesh

Comment by Anonymous — August 31, 2017 @ 9:41 am |

Truly no matter if someone doesn’t understand afterward its up to other people that they will assist, so here

it happens.

Comment by Waldo — September 7, 2017 @ 12:17 am |