Timeline for improved Sobolev embedding
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 4, 2020 at 5:02 | vote | accept | Math604 | ||
| Aug 3, 2020 at 22:50 | answer | added | Connor Mooney | timeline score: 3 | |
| Aug 3, 2020 at 22:24 | history | edited | leo monsaingeon | CC BY-SA 4.0 |
serious rephrasing and formatting, changed the confusing $x_0$ point into $y$, added tags
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| Aug 3, 2020 at 18:25 | comment | added | Math604 | ya, i was not overly precise in my question. So let $X$ denote the functions with $H^1(\Omega)$ norm; the functions are zero on side of cone and the functions are nonnegative and satisfy $u_r \ge 0$ or $ x \cdot \nabla u(x) \ge 0$. So they are radial increasing but there is no radial symmetry assumption. | |
| Aug 3, 2020 at 18:19 | comment | added | Willie Wong | I misunderstood your question. Are you only interested in the $H^1 \to L^p$ embedding? // Also, when you say "radial increasing functions" do you mean functions that increase in the radial direction, or do you mean radially symmetric functions that also increase in the radial direction? | |
| Aug 3, 2020 at 18:13 | comment | added | Math604 | I am confused.... or maybe i don't understand your comment. On the unit ball if you just ask for radial functions then there is no improved range. | |
| Aug 3, 2020 at 17:56 | history | asked | Math604 | CC BY-SA 4.0 |