User talk:PDEguy

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Happy editing! —Kusma (talk) 10:00, 2 July 2022 (UTC)


 * I'm happy to see that you have been working on quasiconvexity in the calculus of variations. Let me know if you need any help with it. —Kusma (talk) 10:02, 2 July 2022 (UTC)
 * Thanks for the warm welcome! So far, I have only one question and your opinion could be helpful. Should the article on quasiconvexity also include the quasiconvex envelope? On one hand it shows another ways, how this notion of convexity is used, on the other hand, it is very specialised knowledge. PDEguy (talk) 07:46, 3 July 2022 (UTC)
 * I think that both the quasiconvex envelope of a function and the quasiconvex hull of a set of matrices are in principle relevant enough to be included, but it may be better to first discuss applications and properties a bit more before going to related topics. I've been trying to do some copyediting on your draft, but there are some technical problems affecting Wikipedia (and especially the display of mathematics) right now so I can't continue right now. —Kusma (talk) 12:03, 3 July 2022 (UTC)
 * What do you mean about applications and more properties? Surely there are more properties, but those are not necessary included in the standard references in the Calculus of Variations. So I would not consider more as a niche aspect of quasiconvex functions. PDEguy (talk) 13:03, 6 July 2022 (UTC)
 * Well, the main application is of course the existence theory. You are probably right that further properties (or non-properties) are a bit too specialised at the moment. —Kusma (talk) 20:58, 6 July 2022 (UTC)