Talk:Gagliardo–Nirenberg interpolation inequality

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I changed "alpha=0" to "alpha=1" in order to get the Sobolev Imbedding. It is correct now. — Preceding unsigned comment added by 81.84.196.143 (talk) 20:34, August 31, 2013‎ (UTC)

An overview

The article is well-written, following a mathematical scheme to underline the hypothesis and therefore the proof. Just a small advice: may you describe what does it mean ess sup |u|, after the first equation? I suppose it would be a supremum for the function, but to clarify it would be great! SebastianoCorli (talk) 13:10, 1 July 2022 (UTC)

Thank you! It is an essential supremum (a supremum up to a zero-measure set). I will add it for sure (or feel free to do it yourself). SlipherD (talk) 13:20, 1 July 2022 (UTC)

 Done SlipherD (talk) 14:51, 1 July 2022 (UTC)

New links

May I also suggest to add some links to correlated pages? For example on topics from mathematical or functional analysis. SebastianoCorli (talk) 13:16, 1 July 2022 (UTC)

Review

Nice article - sadly not an expert or even beginner in this topic, so not much I can say about the content, other than that it is well written. -- Tmerbex92 (talk) 13:35, 1 July 2022 (UTC)

Observations and suggestions for improvements

The following observations and suggestions for improvements were collected, following expert review of the article within the Science, Technology, Society and Wikipedia course at the Politecnico di Milano, in June 2022.

Not easy/possible to retrieve bibliographic references 1-2 and no link provided for 3-4-5-6-7. If nothing better (e.g. the journals) can be found one could at least use databases such as Mathscinet: for #3 https://mathscinet.ams.org/mathscinet/search/publdoc.html?pg1=INDI&s1=256385&sort=Newest&vfpref=html&r=25&mx-pid=102740 for #4 https://mathscinet.ams.org/mathscinet/search/publdoc.html?pg1=INDI&s1=256385&sort=Newest&vfpref=html&r=22&mx-pid=109295 for #5 https://mathscinet.ams.org/mathscinet/search/publdoc.html?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=pubyear&pg4=AUCN&pg5=TI&pg6=PC&pg7=ALLF&pg8=ET&review_format=html&s4=nirenberg&s5=&s6=&s7=&s8=All&sort=Newest&vfpref=html&yearRangeFirst=1958&yearRangeSecond=1959&yrop=eq&r=3&mx-pid=109940 etc.

Citations [10] and [11] could (should?) be included also in the first paragraph, where reference is made to Brezis and Mironescu papers

Citation to [7] should be placed after "a first generalization in 1963"

Formula with norms (in "Statement of the inequality") is not displayed properly in a small screen. Suggest to place the W^k,p norm in a different line. Moreover not clear to me whether it is appropriate to introduce here the Sobolev space (and its norm), which is not referred to in the statement of the Theorem

In "The Gagliardo-Nirenberg inequality in bounded domains" Not sure I would state that using bounded domains is particularly related to solving real-life applications.

Not sure whether the "See also" links are the most appropriate unes. Something about inequalities? Lp spaces? But maybe the "See also" is recommended to be quite general, in which case it could be ok

--BarettoDiArchitettura (talk) 08:39, 21 July 2022 (UTC)

The compendium of the talks of the ICM 1958 (ref. 1-2) can be found here. It is the first Google result for ICM 1958. Perhaps the link could be added, though.

As for "old" papers missing a DOI, not sure subscription-based databases are the way to go, in the spirit of Wikipedia's accessibility policy. Also, [6] has a link. However, maybe there are suitable alternatives I am not aware of!

For sure the See Also section could use some improvements, although I think it should not contain articles already wikilinked in the body of the text.

Thanks for the feedback on the visual aspects and citation placement. Lead citations are purposefully left out, as we were advised to do so during the course. SlipherD (talk) 16:54, 21 July 2022 (UTC)