Timeline for Sobolev inequality with holes
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Apr 27, 2023 at 2:24 | comment | added | Willie Wong | @cs89 thanks, that is the one I am thinking of. | |
| Apr 26, 2023 at 7:55 | comment | added | cs89 | There is also a recent rewriting Alberto Fiorenza, Maria Rosaria Formica, Tomáš G. Roskovec, and Filip Soudský. "Detailed proof of classical Gagliardo–Nirenberg interpolation inequality with historical remarks" Zeitschrift für Analysis und ihre Anwendungen 40, no. 2 (2021): 217-236 which is very helpful. | |
| Apr 26, 2023 at 7:54 | comment | added | cs89 | @giorgio-metafune I believe he refers to Lecture II of Louis Nirenberg. "On elliptic partial differential equations." Annali della Scuola Normale Superiore di Pisa-Scienze Fisiche e Matematiche 13, no. 2 (1959): 115-162. | |
| Apr 26, 2023 at 6:18 | comment | added | Giorgio Metafune | @WillieWong Could you be more precise: which paper and which result are you referring to? | |
| Apr 26, 2023 at 5:56 | answer | added | cs89 | timeline score: 3 | |
| Apr 26, 2023 at 4:42 | history | edited | Davidi Cone | CC BY-SA 4.0 |
added 112 characters in body
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| Apr 26, 2023 at 1:16 | comment | added | Willie Wong | In the specific case: since $B_1(0)$ is convex, you can copy over Nirenberg's 1959 proof (the one integrating over rectangles) with almost zero change. | |
| S Apr 25, 2023 at 17:35 | history | suggested | Medo | CC BY-SA 4.0 |
The space should be $L^{2n/(n-2)}$ not $L^{(n-2)/(2n)}$
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| Apr 25, 2023 at 15:39 | comment | added | Medo | It is useful to recall the definition of the space $D^{1,2}$ here. | |
| Apr 25, 2023 at 15:37 | review | Suggested edits | |||
| S Apr 25, 2023 at 17:35 | |||||
| Apr 25, 2023 at 11:55 | history | edited | Davidi Cone | CC BY-SA 4.0 |
added 4 characters in body; edited title
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| Apr 25, 2023 at 11:48 | history | asked | Davidi Cone | CC BY-SA 4.0 |