Timeline for Quasilinear elliptic problem: Ellipticity-type conditions
Current License: CC BY-SA 4.0
8 events
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Jan 23, 2019 at 15:32 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
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Jan 21, 2019 at 15:19 | comment | added | user60665 | Thank you for the update. In the model problem you mentioned, why are there no assumptions on the growth of $F$ with respect to the $u$ variable? | |
Jan 21, 2019 at 13:17 | vote | accept | CommunityBot | ||
Jan 17, 2019 at 0:12 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
added 963 characters in body
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Jan 13, 2019 at 14:18 | comment | added | user60665 | Thank you. I look forward to it. | |
Jan 13, 2019 at 2:33 | comment | added | Piotr Hajlasz | @Dal The growth condition guarantees existence of minimizers in $W^{1,p}$. Later I will add more references. The statements are quite technical and there is no way I can carefully state all relevant results. Just use the above result as a guideline and search the books. I need to be in my office to check other books so you need to wait a few days for more references. | |
Jan 13, 2019 at 2:27 | comment | added | user60665 | Thank you. And what is the role of that growth condition? (third bullet point) | |
Jan 13, 2019 at 2:07 | history | answered | Piotr Hajlasz | CC BY-SA 4.0 |