Timeline for Why $M_1 \subset M_2 \not \Rightarrow N_{M_1} (\lambda) \leq N_{M_2} (\lambda)$ for eigenvalue problem? (EDIT)
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Jun 15, 2016 at 16:29 | comment | added | Neal | By smoothing the rectangles in this example, one can also produce smooth convex domains which do not have monotonicity, and relaxing convexity, there are also counterexamples among annuli. See Ni-Wang, "On the First Positive Neumann Eigenvalue." | |
Jun 15, 2016 at 16:19 | vote | accept | Sharpie | ||
Jun 15, 2016 at 11:07 | vote | accept | Sharpie | ||
Jun 15, 2016 at 13:46 | |||||
Jun 15, 2016 at 3:35 | history | edited | Christian Remling | CC BY-SA 3.0 |
added 13 characters in body
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Jun 15, 2016 at 3:23 | history | answered | Christian Remling | CC BY-SA 3.0 |