Skip to main content

Timeline for Critical case of Sobolev Embedding

Current License: CC BY-SA 3.0

11 events
when toggle format what by license comment
Oct 5, 2016 at 3:30 vote accept CommunityBot
Jun 15, 2016 at 15:02 comment added Pedro Lauridsen Ribeiro Done, I essentially reverted your question to its original form (apart only from a couple of corrections). I also picked a version of the Trudinger inequality which applies more directly to your hypotheses (with a proper reference to the excellent book of Gilbarg and Trudinger) and completed the argument you sketched based on my comment above. Finally, I made a few remarks about why you really need $u\in W^{2,2}_0(B)$ for the estimate to work.
Jun 15, 2016 at 6:00 answer added Pedro Lauridsen Ribeiro timeline score: 3
Jun 15, 2016 at 3:07 history edited Pedro Lauridsen Ribeiro CC BY-SA 3.0
Reverted question to original version in order to strip away answer embedded in it and post it as a proper answer with agreement of the OP, since it is based on my comment. Also a small typo fix
May 31, 2016 at 1:07 comment added user40184 @PedroLauridsenRibeiro Hi, please feel free to edit the original post.
May 31, 2016 at 0:56 comment added Pedro Lauridsen Ribeiro The edit seems to have incorporated the answer to the OP's question. May I suggest dismembering it and making it into a proper answer?
May 30, 2016 at 22:10 history edited Matthias Ludewig CC BY-SA 3.0
added 4 characters in body
May 30, 2016 at 21:28 history edited user40184 CC BY-SA 3.0
deleted 69 characters in body
May 30, 2016 at 21:11 history edited user40184 CC BY-SA 3.0
added 775 characters in body
May 27, 2016 at 1:28 comment added Pedro Lauridsen Ribeiro I believe you are looking for the Moser-Trudinger inequality... Have a look at en.wikipedia.org/wiki/Birnbaum%E2%80%93Orlicz_space (the Wikipedia entry on the Moser-Trudinger inequality is not that illuminating by itself)
May 27, 2016 at 0:56 history asked user40184 CC BY-SA 3.0