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Jan
24
awarded  Popular Question
Jul
15
awarded  Nice Answer
May
24
awarded  Good Question
Mar
30
comment What's a mathematician to do?
Probably my favourite answer on MO.
Mar
21
answered Applications of Rademacher's Theorem
Mar
11
comment What goes wrong for the Sobolev embeddings at $k=n/p$?
I'm not sure I quite appreciate exactly what is being asked. You lay out two cases and then say that what is essentially just a third case is an example of the other two not working. You say that the Sobolev embedding theorem "fails" or "goes wrong" when $k=n/p$, but one might say that it is simply neither of the two cases you lay out at the start. Nothing "fails", it just happens to be its own special case.
Feb
27
awarded  Yearling
Jan
30
awarded  Nice Answer
Jan
25
comment What is the “real osculating space” of a (minimal) immersion?
Sorry - so do you know how the osculating space is then defined using this polynomial map?
Nov
30
accepted Divergence form Elliptic PDE Removable Singularity/Regularity Question
Nov
28
asked What is the “real osculating space” of a (minimal) immersion?
Nov
28
revised Divergence form Elliptic PDE Removable Singularity/Regularity Question
added 456 characters in body
Nov
26
asked Divergence form Elliptic PDE Removable Singularity/Regularity Question
Nov
3
awarded  Favorite Question
Jun
12
awarded  Notable Question
May
29
comment Advanced High-Schooler Seeking Career Advice
Aaah! Please don't spread the myth that things like top scores in Putman, Olympiad etc. are some sort of necessity for research at a high level! The infamous `many a website' is a notoriously unreliable source.
May
13
comment Moser regularity proof avoiding John-Nirenberg lemma
To clarify, the rest of Tilli's paper - i.e. the non-so-new stuff - looks, at a glance, to be the same as the old argument that's in Han and Lin. So it seems a perfectly good source.
May
13
comment Moser regularity proof avoiding John-Nirenberg lemma
The new point about this paper Mircea seems to be that they avoid the iteration altogether, by basically differentiating' the quantity which is usually treated discretely and iterated. A proof along the lines which Connor describes in his initial answer, i.e. for pure divergence form equations, using iteration but not John-Nirenberg existed right at the start' as it were - it is due essentially to De Giorgi himself. You can find it the book of Han and Lin, Elliptic PDE. The John-Nirenberg Lemma was used by Moser to prove his Harnack inequality, which itself was not crucial for regularity.
May
1
comment Geometric Mean Value Property
Did you find what you wanted?
Apr
22
awarded  Scholar