| Title: | On the strict monotonicity of the first eigenvalue of the p-Laplacian on annuli |
| Authors: | Anoop, T.V. Bobkov, Vladimír Sasi, Sarath |
| Issue Date: | 2018 |
| Publisher: | American Mathematical Society |
| Document type: | článek article |
| URI: | 2-s2.0-85051788687 http://hdl.handle.net/11025/30446 |
| ISSN: | 0002-9947 |
| Keywords in different language: | p-Laplacian;symmetries;shape derivative;Fucik spectrum;eigenvalue;eigenfunction;nonradiality. |
| Abstract in different language: | Let B1 be a ball in RN centred at the origin and let B0 be a smaller ball compactly contained in B1. For p ∈ (1,∞), using the shape derivative method, we show that the first eigenvalue of the p-Laplacian in annulus B1\B0 strictly decreases as the inner ball moves towards the boundary of the outer ball. The analogous results for the limit cases as p → 1 and p→ ∞ are also discussed. Using our main result, further we prove the nonradiality of the eigenfunctions associated with the points on the first nontrivial curve of the Fuˇcik spectrum of the p-Laplacian on bounded radial domains. |
| Rights: | Plný text není přístupný. © American Mathematical Society |
| Appears in Collections: | Články / Articles (KMA) OBD |
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| File | Size | Format | |
|---|---|---|---|
| Anoop, Bobkov, Sasi, Arxiv, Published_2018.pdf | 312,76 kB | Adobe PDF | View/Open Request a copy |
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