Some Observations on the First Eigenvalue of the p-Laplacian and its Connections with Asymmetry
| dc.contributor.author | Bhattacharya, Tilak ( ) | |
| dc.date.accessioned | 2020-01-09T16:38:27Z | |
| dc.date.available | 2020-01-09T16:38:27Z | |
| dc.date.issued | 2001-05-16 | |
| dc.identifier.citation | Bhattacharya, T. (2001). Some observations on the first eigenvalue of the p-Laplacian and its connections with asymmetry. Electronic Journal of Differential Equations, 2001(35), pp. 1-15. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/9166 | |
| dc.description.abstract | In this work, we present a lower bound for the first eigenvalue of the p-Laplacian on bounded domains in ℝ2. Let λ1 be the first eigenvalue and λ*1 be the first eigenvalue for the ball of the same volume. Then we show that λ1 ≥ λ*1 (1 + Cα(Ω3)), for some constant C, where α is the asymmetry of the domain Ω. This provides a lower bound sharper than the bound in Faber-Krahn inequality. | en_US |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Asymmetry | en_US |
| dc.subject | De Giorgi perimeter | en_US |
| dc.subject | p-Laplacian | en_US |
| dc.subject | First eigenvalue | en_US |
| dc.subject | Talenti's inequality | en_US |
| dc.title | Some Observations on the First Eigenvalue of the p-Laplacian and its Connections with Asymmetry | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
