Timeline for Critical case of Sobolev Embedding
Current License: CC BY-SA 3.0
11 events
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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
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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
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May 30, 2016 at 21:28 | history | edited | user40184 | CC BY-SA 3.0 |
deleted 69 characters in body
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May 30, 2016 at 21:11 | history | edited | user40184 | CC BY-SA 3.0 |
added 775 characters in body
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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 |