A paper recently up on arXiv details the errors committed by an author of a paper in Non-Linear Analysis, who, by ignoring basic conditions of theorems manages to prove most of mathematics and substantial parts of physics inconsistent.
This is the second insufficiently reviewed paper at that Journal causing some sort of waves spreading as far as to me so far. The blogospheric and medial storm around the infamous “proof” by Elin Oxenhielm of the 16th Hilbertian problem a few years ago was, at the core, sparked from her getting the paper accepted at … right, Non-Linear Analysis … and taking this publication as a token that her results were in fact true and anyone critizising here were out to steal her credit.
Needless to say, with the density displayed thus far of crackpotism and sloppy publishing, I don’t think I’ll trust NLA for anything at all in the future.
I was about to jump in with a spirited defence of nonlinear analysis, before I reread and discovered that you were referring to a journal of that name, and not the subject itself.
I think you’re doing Elin Oxenhielm some slight disservice in comparing her to this paper. She was certainly wrong, but nothing I’ve read suggests that she was crackpot level wrong. She simply had a somewhat suspect proof which, upon trying to fill out the details to a satisfactory level, turned out to be wrong. The article being commented on in this arxiv post simply looks like sheer crackpottery.
(Which really doesn’t look good for the journal that accepted it. I wonder who was asleep on the job for that one to happen…)