| Title: | Nonradiality of second eigenfunctions of the fractional Laplacian in a ball |
| Authors: | Benedikt, Jiří Bobkov, Vladimír Dhara, Raj Narayan Girg, Petr |
| Citation: | BENEDIKT, J. BOBKOV, V. DHARA, RN. GIRG, P. Nonradiality of second eigenfunctions of the fractional Laplacian in a ball. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, roč. 150, č. 12, s. 5335-5348. ISSN: 0002-9939 |
| Issue Date: | 2022 |
| Publisher: | American Mathematical Society |
| Document type: | článek article |
| URI: | 2-s2.0-85140336967 http://hdl.handle.net/11025/50629 |
| ISSN: | 0002-9939 |
| Keywords in different language: | fractional Laplacian;eigenvalue problem;nonradiality of eigenfunction;symmetrization technique |
| Abstract in different language: | Using symmetrization techniques, we show that, for every N>=2, any second eigenfunction of the fractional Laplacian in the N-dimensional unit ball with homogeneous Dirichlet conditions is nonradial, and hence its nodal set is an equatorial section of the ball. |
| Rights: | Plný text není přístupný. © American Mathematical Society |
| Appears in Collections: | Články / Articles (KMA) OBD |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| proc16062.pdf | 256,59 kB | Adobe PDF | View/Open Request a copy |
Please use this identifier to cite or link to this item:
http://hdl.handle.net/11025/50629Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.